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Simplifying -3(2p + -4) + 7(p + -6) = -31 + -8 Reorder the terms: -3(-4 + 2p) + 7(p + -6) = -31 + -8 (-4 * -3 + 2p * -3) + 7(p + -6) = -31 + -8 (12 + -6p) + 7(p + -6) = -31 + -8 Reorder the terms: 12 + -6p + 7(-6 + p) = -31 + -8 12 + -6p + (-6 * 7 + p * 7) = -31 + -8 12 + -6p + (-42 + 7p) = -31 + -8 Reorder the terms: 12 + -42 + -6p + 7p = -31 + -8 Combine like terms: 12 + -42 = -30 -30 + -6p + 7p = -31 + -8 Combine like terms: -6p + 7p = 1p -30 + 1p = -31 + -8 Combine like terms: -31 + -8 = -39 -30 + 1p = -39 Solving -30 + 1p = -39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1p = -39 + 30 Combine like terms: -30 + 30 = 0 0 + 1p = -39 + 30 1p = -39 + 30 Combine like terms: -39 + 30 = -9 1p = -9 Divide each side by '1'. p = -9 Simplifying p = -9
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