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Simplifying -4(2p + -4) = 2(p + 3) Reorder the terms: -4(-4 + 2p) = 2(p + 3) (-4 * -4 + 2p * -4) = 2(p + 3) (16 + -8p) = 2(p + 3) Reorder the terms: 16 + -8p = 2(3 + p) 16 + -8p = (3 * 2 + p * 2) 16 + -8p = (6 + 2p) Solving 16 + -8p = 6 + 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. 16 + -8p + -2p = 6 + 2p + -2p Combine like terms: -8p + -2p = -10p 16 + -10p = 6 + 2p + -2p Combine like terms: 2p + -2p = 0 16 + -10p = 6 + 0 16 + -10p = 6 Add '-16' to each side of the equation. 16 + -16 + -10p = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -10p = 6 + -16 -10p = 6 + -16 Combine like terms: 6 + -16 = -10 -10p = -10 Divide each side by '-10'. p = 1 Simplifying p = 1
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