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Simplifying 6(-8p + 6) + -4 = -2(p + 7) Reorder the terms: 6(6 + -8p) + -4 = -2(p + 7) (6 * 6 + -8p * 6) + -4 = -2(p + 7) (36 + -48p) + -4 = -2(p + 7) Reorder the terms: 36 + -4 + -48p = -2(p + 7) Combine like terms: 36 + -4 = 32 32 + -48p = -2(p + 7) Reorder the terms: 32 + -48p = -2(7 + p) 32 + -48p = (7 * -2 + p * -2) 32 + -48p = (-14 + -2p) Solving 32 + -48p = -14 + -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. 32 + -48p + 2p = -14 + -2p + 2p Combine like terms: -48p + 2p = -46p 32 + -46p = -14 + -2p + 2p Combine like terms: -2p + 2p = 0 32 + -46p = -14 + 0 32 + -46p = -14 Add '-32' to each side of the equation. 32 + -32 + -46p = -14 + -32 Combine like terms: 32 + -32 = 0 0 + -46p = -14 + -32 -46p = -14 + -32 Combine like terms: -14 + -32 = -46 -46p = -46 Divide each side by '-46'. p = 1 Simplifying p = 1
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