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Simplify to create an equivalent expression. -r+8(-5r-2) Choose 1 answer: (A) -6r-16 (B) -6r-2 (C) -41 r-2 (D) -41 r-16

Simplify to create an equivalent expression.\newline−r+8(−5r−2)-r+8(-5r-2)\newlineChoose 11 answer:\newline(A) −6r−16-6r-16\newline(B) −6r−2-6r-2\newline(C) −41r−2-41r-2\newline(D) −41r−16-41r-16

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

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Q. Simplify to create an equivalent expression.\newline−r+8(−5r−2)-r+8(-5r-2)\newlineChoose 11 answer:\newline(A) −6r−16-6r-16\newline(B) −6r−2-6r-2\newline(C) −41r−2-41r-2\newline(D) −41r−16-41r-16
  1. Distribute the 88: Distribute the 88 to both terms inside the parentheses.\newline−r+8(−5r−2)-r + 8(-5r - 2)\newline=−r+(8⋅−5r)+(8⋅−2)= -r + (8 \cdot -5r) + (8 \cdot -2)\newline=−r−40r−16= -r - 40r - 16
  2. Combine like terms: Combine like terms −r-r and −40r-40r.
    −r−40r−16-r - 40r - 16
    = (−1r−40r)−16(-1r - 40r) - 16
    = −41r−16-41r - 16

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