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Simplifying -6p + -3 = 9(3p + -6) + -7(5 + 5p) Reorder the terms: -3 + -6p = 9(3p + -6) + -7(5 + 5p) Reorder the terms: -3 + -6p = 9(-6 + 3p) + -7(5 + 5p) -3 + -6p = (-6 * 9 + 3p * 9) + -7(5 + 5p) -3 + -6p = (-54 + 27p) + -7(5 + 5p) -3 + -6p = -54 + 27p + (5 * -7 + 5p * -7) -3 + -6p = -54 + 27p + (-35 + -35p) Reorder the terms: -3 + -6p = -54 + -35 + 27p + -35p Combine like terms: -54 + -35 = -89 -3 + -6p = -89 + 27p + -35p Combine like terms: 27p + -35p = -8p -3 + -6p = -89 + -8p Solving -3 + -6p = -89 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -3 + -6p + 8p = -89 + -8p + 8p Combine like terms: -6p + 8p = 2p -3 + 2p = -89 + -8p + 8p Combine like terms: -8p + 8p = 0 -3 + 2p = -89 + 0 -3 + 2p = -89 Add '3' to each side of the equation. -3 + 3 + 2p = -89 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = -89 + 3 2p = -89 + 3 Combine like terms: -89 + 3 = -86 2p = -86 Divide each side by '2'. p = -43 Simplifying p = -43
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