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Simplifying -3(p + 6) + 5p = -8(p + 6) Reorder the terms: -3(6 + p) + 5p = -8(p + 6) (6 * -3 + p * -3) + 5p = -8(p + 6) (-18 + -3p) + 5p = -8(p + 6) Combine like terms: -3p + 5p = 2p -18 + 2p = -8(p + 6) Reorder the terms: -18 + 2p = -8(6 + p) -18 + 2p = (6 * -8 + p * -8) -18 + 2p = (-48 + -8p) Solving -18 + 2p = -48 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -18 + 2p + 8p = -48 + -8p + 8p Combine like terms: 2p + 8p = 10p -18 + 10p = -48 + -8p + 8p Combine like terms: -8p + 8p = 0 -18 + 10p = -48 + 0 -18 + 10p = -48 Add '18' to each side of the equation. -18 + 18 + 10p = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 10p = -48 + 18 10p = -48 + 18 Combine like terms: -48 + 18 = -30 10p = -30 Divide each side by '10'. p = -3 Simplifying p = -3
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