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Simplifying -4(4p + 4) + -27 = 5(2p + 7) Reorder the terms: -4(4 + 4p) + -27 = 5(2p + 7) (4 * -4 + 4p * -4) + -27 = 5(2p + 7) (-16 + -16p) + -27 = 5(2p + 7) Reorder the terms: -16 + -27 + -16p = 5(2p + 7) Combine like terms: -16 + -27 = -43 -43 + -16p = 5(2p + 7) Reorder the terms: -43 + -16p = 5(7 + 2p) -43 + -16p = (7 * 5 + 2p * 5) -43 + -16p = (35 + 10p) Solving -43 + -16p = 35 + 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. -43 + -16p + -10p = 35 + 10p + -10p Combine like terms: -16p + -10p = -26p -43 + -26p = 35 + 10p + -10p Combine like terms: 10p + -10p = 0 -43 + -26p = 35 + 0 -43 + -26p = 35 Add '43' to each side of the equation. -43 + 43 + -26p = 35 + 43 Combine like terms: -43 + 43 = 0 0 + -26p = 35 + 43 -26p = 35 + 43 Combine like terms: 35 + 43 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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