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Simplifying -4(4p + 3) + -36 = 2(5p + 2) Reorder the terms: -4(3 + 4p) + -36 = 2(5p + 2) (3 * -4 + 4p * -4) + -36 = 2(5p + 2) (-12 + -16p) + -36 = 2(5p + 2) Reorder the terms: -12 + -36 + -16p = 2(5p + 2) Combine like terms: -12 + -36 = -48 -48 + -16p = 2(5p + 2) Reorder the terms: -48 + -16p = 2(2 + 5p) -48 + -16p = (2 * 2 + 5p * 2) -48 + -16p = (4 + 10p) Solving -48 + -16p = 4 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -48 + -16p + -10p = 4 + 10p + -10p Combine like terms: -16p + -10p = -26p -48 + -26p = 4 + 10p + -10p Combine like terms: 10p + -10p = 0 -48 + -26p = 4 + 0 -48 + -26p = 4 Add '48' to each side of the equation. -48 + 48 + -26p = 4 + 48 Combine like terms: -48 + 48 = 0 0 + -26p = 4 + 48 -26p = 4 + 48 Combine like terms: 4 + 48 = 52 -26p = 52 Divide each side by '-26'. p = -2 Simplifying p = -2
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