Simplify to create an equivalent expression. 2(-14+r)-(-3r-5) Choose 1 answer: (A) 5r-23 (B) 5r-33 (C) -5r-23 (D) 5r+23

Distribute negative sign: Next, distribute the negative sign into the second set of parentheses (-1 * -3r and -1 * -5). Calculation: -(-3r) - (-5) = 3r + 5Combine results: Now, combine the results from the first two steps. Calculation: (-28 + 2r) + (3r + 5)Combine like terms: Combine like terms by adding the coefficients of r and the constant terms separately. Calculation: 2r + 3r = 5r and -28 + 5 = -23Write final simplified expression: Write the final simplified expression by combining the terms from the previous step. Calculation: 5r - 23

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Simplify to create an equivalent expression.

2(-14+r)-(-3r-5)
Choose 1 answer:
(A)
5r-23
(B)
5r-33
(C)
-5r-23
(D)
5r+23

Simplify to create an equivalent expression. $\newline$ $2(-14+r)-(-3r-5)$ $\newline$ Choose $1$ answer: $\newline$ (A) $5r-23$ $\newline$ (B) $5r-33$ $\newline$ (C) $-5r-23$ $\newline$ (D) $5r+23$

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Math Problems

Algebra 1

Simplify variable expressions involving like terms and the distributive property

Full solution

Q. Simplify to create an equivalent expression.

\newline

2(-14+r)-(-3r-5)

\newline

Choose

1

answer:

\newline

(A)

5r-23

\newline

(B)

5r-33

\newline

(C)

-5r-23

\newline

(D)

5r+23

Distribute negative sign: Next, distribute the negative sign into the second set of parentheses ( $-1 \times -3r$ and $-1 \times -5$ ). $\newline$ Calculation: $-(-3r) - (-5) = 3r + 5$
Combine results: Now, combine the results from the first two steps. $\newline$ Calculation: $(-28 + 2r) + (3r + 5)$
Combine like terms: Combine like terms by adding the coefficients of $r$ and the constant terms separately. $\newline$ Calculation: $2r + 3r = 5r$ and $-28 + 5 = -23$
Write final simplified expression: Write the final simplified expression by combining the terms from the previous step. $\newline$ Calculation: $5r - 23$