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April
10^("th ") Homework: Solving Equ

Solve each equation.
a)
2(n-3)=8

April $10^{\text {th }}$ Homework: Solving Equ $\newline$ $1$ . Solve each equation. $\newline$ a) $2(n-3)=8$

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Factor sums and differences of cubes

Full solution

Q. April

10^{\text {th }}

Homework: Solving Equ

\newline

1

. Solve each equation.

\newline

a)

2(n-3)=8

Distribute the $2$ : First, let's distribute the $2$ into the parentheses: $2 \times n - 2 \times 3 = 8$ .
Simplify the equation: This simplifies to $2n - 6 = 8$ .
Add $6$ to both sides: Next, we add $6$ to both sides to isolate the term with $n$ : $2n - 6 + 6 = 8 + 6$ .
Isolate the term with $n$ : This gives us $2n = 14$ .
Divide by $2$ : Now, we divide both sides by $2$ to solve for $n$ : $\frac{2n}{2} = \frac{14}{2}$ .
Find the value of $\newline$ : So, $\newline$ = $\newline$ .

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