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Simplify to create an equivalent expression. 4(-15-3p)-4(-p+5) Choose 1 answer: (A) -8p-80 (B) -13 p-80 (c) -8p+80 (D) 8p-80

Simplify to create an equivalent expression.\newline4(−15−3p)−4(−p+5)4(-15-3p)-4(-p+5)\newlineChoose 11 answer:\newline(A) −8p−80-8p-80\newline(B) −13p−80-13p-80\newline(C) −8p+80-8p+80\newline(D) 8p−808p-80

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Full solution

Q. Simplify to create an equivalent expression.\newline4(−15−3p)−4(−p+5)4(-15-3p)-4(-p+5)\newlineChoose 11 answer:\newline(A) −8p−80-8p-80\newline(B) −13p−80-13p-80\newline(C) −8p+80-8p+80\newline(D) 8p−808p-80
  1. Distribute 44 into the first term: First, distribute the 44 into the parentheses in the first term 4(−15−3p)4(-15-3p).\newlineCalculation: 4×−15=−604 \times -15 = -60 and 4×−3p=−12p4 \times -3p = -12p.\newlineSo, 4(−15−3p)4(-15-3p) becomes −60−12p-60 - 12p.
  2. Distribute −4-4 into the second term: Next, distribute the −4-4 into the parentheses in the second term −4(−p+5)-4(-p+5).\newlineCalculation: −4⋅−p=4p-4 \cdot -p = 4p and −4⋅5=−20-4 \cdot 5 = -20.\newlineSo, −4(−p+5)-4(-p+5) becomes 4p−204p - 20.
  3. Combine the results of distribution: Now, combine the results of the distribution from both terms.\newlineWe have −60−12p-60 - 12p from the first term and 4p−204p - 20 from the second term.\newlineCombining these gives us: −60−12p+4p−20-60 - 12p + 4p - 20.
  4. Simplify the expression: Simplify the expression by combining like terms.\newlineThe p terms: −12p+4p=−8p-12p + 4p = -8p.\newlineThe constant terms: −60−20=−80-60 - 20 = -80.\newlineSo, the simplified expression is −8p−80-8p - 80.

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