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Simplifying -3(2p + 14) + -28 = 2(p + 15) + 12 Reorder the terms: -3(14 + 2p) + -28 = 2(p + 15) + 12 (14 * -3 + 2p * -3) + -28 = 2(p + 15) + 12 (-42 + -6p) + -28 = 2(p + 15) + 12 Reorder the terms: -42 + -28 + -6p = 2(p + 15) + 12 Combine like terms: -42 + -28 = -70 -70 + -6p = 2(p + 15) + 12 Reorder the terms: -70 + -6p = 2(15 + p) + 12 -70 + -6p = (15 * 2 + p * 2) + 12 -70 + -6p = (30 + 2p) + 12 Reorder the terms: -70 + -6p = 30 + 12 + 2p Combine like terms: 30 + 12 = 42 -70 + -6p = 42 + 2p Solving -70 + -6p = 42 + 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. -70 + -6p + -2p = 42 + 2p + -2p Combine like terms: -6p + -2p = -8p -70 + -8p = 42 + 2p + -2p Combine like terms: 2p + -2p = 0 -70 + -8p = 42 + 0 -70 + -8p = 42 Add '70' to each side of the equation. -70 + 70 + -8p = 42 + 70 Combine like terms: -70 + 70 = 0 0 + -8p = 42 + 70 -8p = 42 + 70 Combine like terms: 42 + 70 = 112 -8p = 112 Divide each side by '-8'. p = -14 Simplifying p = -14
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