Rewrite in simplest terms: -8(0.7 q+0.5 r)-4r-2(0.4 r-0.9 q) Answer:

Distribute -8: Distribute the -8 into the terms inside the first set of parentheses. -8 * 0.7q gives us -5.6q, and -8 * 0.5r gives us -4r. So, -8(0.7q + 0.5r) becomes -5.6q - 4r.Distribute -2: Distribute the -2 into the terms inside the second set of parentheses. -2 * 0.4r gives us -0.8r, and -2 * -0.9q gives us +1.8q. So, -2(0.4r - 0.9q) becomes -0.8r + 1.8q.Combine like terms: Combine like terms from the results of Step 1 and Step 2 with the -4r term that is already outside the parentheses. Combine -5.6q and +1.8q to get -3.8q. Combine -4r, -4r, and -0.8r to get -8.8r. So, the expression becomes -3.8q - 8.8r.Check for common factors: Check for any common factors that can be factored out or any further simplification. There are no common factors in -3.8q and -8.8r, and no further simplification is possible.

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Rewrite in simplest terms:
-8(0.7 q+0.5 r)-4r-2(0.4 r-0.9 q)
Answer:

Rewrite in simplest terms: $-8(0.7 q+0.5 r)-4 r-2(0.4 r-0.9 q)$ $\newline$ Answer:

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Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. Rewrite in simplest terms:

-8(0.7 q+0.5 r)-4 r-2(0.4 r-0.9 q)

\newline

Answer:

Distribute $-8$ : Distribute the $-8$ into the terms inside the first set of parentheses. $-8 \times 0.7q$ gives us $-5.6q$ , and $-8 \times 0.5r$ gives us $-4r$ . So, $-8(0.7q + 0.5r)$ becomes $-5.6q - 4r$ .
Distribute $-2$ : Distribute the $-2$ into the terms inside the second set of parentheses. $-2 \times 0.4r$ gives us $-0.8r$ , and $-2 \times -0.9q$ gives us $+1.8q$ . So, $-2(0.4r - 0.9q)$ becomes $-0.8r + 1.8q$ .
Combine like terms: Combine like terms from the results of Step $1$ and Step $2$ with the $-4r$ term that is already outside the parentheses. $\newline$ Combine $-5.6q$ and $+1.8q$ to get $-3.8q$ . $\newline$ Combine $-4r$ , $-4r$ , and $-0.8r$ to get $-8.8r$ . $\newline$ So, the expression becomes $-3.8q - 8.8r$ .
Check for common factors: Check for any common factors that can be factored out or any further simplification. There are no common factors in $-3.8q$ and $-8.8r$ , and no further simplification is possible.