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Simplifying -3(2p + 6) + -12 = -2(p + 7) + 4 Reorder the terms: -3(6 + 2p) + -12 = -2(p + 7) + 4 (6 * -3 + 2p * -3) + -12 = -2(p + 7) + 4 (-18 + -6p) + -12 = -2(p + 7) + 4 Reorder the terms: -18 + -12 + -6p = -2(p + 7) + 4 Combine like terms: -18 + -12 = -30 -30 + -6p = -2(p + 7) + 4 Reorder the terms: -30 + -6p = -2(7 + p) + 4 -30 + -6p = (7 * -2 + p * -2) + 4 -30 + -6p = (-14 + -2p) + 4 Reorder the terms: -30 + -6p = -14 + 4 + -2p Combine like terms: -14 + 4 = -10 -30 + -6p = -10 + -2p Solving -30 + -6p = -10 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -30 + -6p + 2p = -10 + -2p + 2p Combine like terms: -6p + 2p = -4p -30 + -4p = -10 + -2p + 2p Combine like terms: -2p + 2p = 0 -30 + -4p = -10 + 0 -30 + -4p = -10 Add '30' to each side of the equation. -30 + 30 + -4p = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -4p = -10 + 30 -4p = -10 + 30 Combine like terms: -10 + 30 = 20 -4p = 20 Divide each side by '-4'. p = -5 Simplifying p = -5
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