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Let’s check out your problem:
Solve for
w
w
w
.
\newline
2
(
w
−
10
)
=
−
8
2(w - 10) = -8
2
(
w
−
10
)
=
−
8
\newline
w
=
w =
w
=
_____
View step-by-step help
Home
Math Problems
Algebra 1
Solve multi-step linear equations
Full solution
Q.
Solve for
w
w
w
.
\newline
2
(
w
−
10
)
=
−
8
2(w - 10) = -8
2
(
w
−
10
)
=
−
8
\newline
w
=
w =
w
=
_____
Distribute property simplification:
Simplify
2
(
w
−
10
)
2(w - 10)
2
(
w
−
10
)
by using the
distributive property
.
\newline
2
(
w
−
10
)
2(w - 10)
2
(
w
−
10
)
\newline
=
2
(
w
)
+
2
(
−
10
)
2(w) + 2(-10)
2
(
w
)
+
2
(
−
10
)
\newline
=
2
w
−
20
2w - 20
2
w
−
20
Set equal to
−
8
-8
−
8
:
Set the simplified expression equal to
–
8
–8
–8
.
2
w
−
20
=
–
8
2w - 20 = –8
2
w
−
20
=
–8
Isolate and add
20
20
20
:
Isolate
2
w
2w
2
w
by adding
20
20
20
to both sides of the equation.
\newline
2
w
−
20
+
20
=
−
8
+
20
2w - 20 + 20 = -8 + 20
2
w
−
20
+
20
=
−
8
+
20
\newline
2
w
=
12
2w = 12
2
w
=
12
Divide by
2
2
2
to solve:
Divide both sides by
2
2
2
to solve for
w
w
w
.
2
w
2
=
12
2
\frac{2w}{2} = \frac{12}{2}
2
2
w
=
2
12
w
=
6
w = 6
w
=
6
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6
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x
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\newline
Choose
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\newline
(A) No solutions
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(B) Exactly one solution
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(B) Exactly one solution
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How many solutions does the following equation have?
\newline
9
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=
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Choose
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\newline
(A) No solutions
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(B) Exactly one solution
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