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Simplifying 4(2p + 1) + -12 = 2(8p + 12) Reorder the terms: 4(1 + 2p) + -12 = 2(8p + 12) (1 * 4 + 2p * 4) + -12 = 2(8p + 12) (4 + 8p) + -12 = 2(8p + 12) Reorder the terms: 4 + -12 + 8p = 2(8p + 12) Combine like terms: 4 + -12 = -8 -8 + 8p = 2(8p + 12) Reorder the terms: -8 + 8p = 2(12 + 8p) -8 + 8p = (12 * 2 + 8p * 2) -8 + 8p = (24 + 16p) Solving -8 + 8p = 24 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -8 + 8p + -16p = 24 + 16p + -16p Combine like terms: 8p + -16p = -8p -8 + -8p = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -8 + -8p = 24 + 0 -8 + -8p = 24 Add '8' to each side of the equation. -8 + 8 + -8p = 24 + 8 Combine like terms: -8 + 8 = 0 0 + -8p = 24 + 8 -8p = 24 + 8 Combine like terms: 24 + 8 = 32 -8p = 32 Divide each side by '-8'. p = -4 Simplifying p = -4
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