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Simplifying -12p + -5(3 + -4p) = 6(p + -2) + -17 -12p + (3 * -5 + -4p * -5) = 6(p + -2) + -17 -12p + (-15 + 20p) = 6(p + -2) + -17 Reorder the terms: -15 + -12p + 20p = 6(p + -2) + -17 Combine like terms: -12p + 20p = 8p -15 + 8p = 6(p + -2) + -17 Reorder the terms: -15 + 8p = 6(-2 + p) + -17 -15 + 8p = (-2 * 6 + p * 6) + -17 -15 + 8p = (-12 + 6p) + -17 Reorder the terms: -15 + 8p = -12 + -17 + 6p Combine like terms: -12 + -17 = -29 -15 + 8p = -29 + 6p Solving -15 + 8p = -29 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -15 + 8p + -6p = -29 + 6p + -6p Combine like terms: 8p + -6p = 2p -15 + 2p = -29 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 2p = -29 + 0 -15 + 2p = -29 Add '15' to each side of the equation. -15 + 15 + 2p = -29 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -29 + 15 2p = -29 + 15 Combine like terms: -29 + 15 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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