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Simplifying -4p + -8p = -4(p + 3) + -7(5p + 6) Combine like terms: -4p + -8p = -12p -12p = -4(p + 3) + -7(5p + 6) Reorder the terms: -12p = -4(3 + p) + -7(5p + 6) -12p = (3 * -4 + p * -4) + -7(5p + 6) -12p = (-12 + -4p) + -7(5p + 6) Reorder the terms: -12p = -12 + -4p + -7(6 + 5p) -12p = -12 + -4p + (6 * -7 + 5p * -7) -12p = -12 + -4p + (-42 + -35p) Reorder the terms: -12p = -12 + -42 + -4p + -35p Combine like terms: -12 + -42 = -54 -12p = -54 + -4p + -35p Combine like terms: -4p + -35p = -39p -12p = -54 + -39p Solving -12p = -54 + -39p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '39p' to each side of the equation. -12p + 39p = -54 + -39p + 39p Combine like terms: -12p + 39p = 27p 27p = -54 + -39p + 39p Combine like terms: -39p + 39p = 0 27p = -54 + 0 27p = -54 Divide each side by '27'. p = -2 Simplifying p = -2
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