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$Simplify the expression. Write your answers using integers or improper fractions. -(7)/(2)w+4(-5w+(1)/(2)) Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $-\frac{7}{2} w+4\left(-5 w+\frac{1}{2}\right)$ $\newline$ Answer:

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

-\frac{7}{2} w+4\left(-5 w+\frac{1}{2}\right)

\newline

Answer:

Distribute $4$ : We have the expression: $\newline$ $-\frac{7}{2}w + 4(-5w + \frac{1}{2})$ $\newline$ First, distribute the $4$ into the terms inside the parentheses.
Combine terms with $w$ : Distribute $4$ to $-5w$ and $\frac{1}{2}$ : $4 \times -5w = -20w$ $4 \times \frac{1}{2} = 2$ So the expression becomes:-\left(\frac{$7$}{$2$}\right)w - \(20w + $2$
Rewrite $-20w$ : Combine like terms, which are the terms with the variable $w$ . To combine $-\frac{7}{2}w$ and $-20w$ , we need to have a common denominator. Since $20$ is the same as $\frac{40}{2}$ , we rewrite $-20w$ as $-\frac{40}{2} w$ .
Combine $w$ terms: Now we have: $\newline$ $-\left(\frac{7}{2}\right)w - \left(\frac{40}{2}\right)w + 2$ $\newline$ Combine the $w$ terms: $\newline$ $-\left(\frac{7}{2} + \frac{40}{2}\right)w + 2$
Simplify the fraction: Simplify the fraction: $\newline$ $-\left(\frac{7}{2} + \frac{40}{2}\right) = -\left(\frac{47}{2}\right)$ $\newline$ So the expression becomes: $\newline$ -\left(\frac{$47$}{$2$}\right)w + \(2
Final expression: The expression is now simplified. There are no like terms left to combine, and the expression is written using an integer and an improper fraction.