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Simplifying 4(2p + 1) + -12p = 16p + 12 Reorder the terms: 4(1 + 2p) + -12p = 16p + 12 (1 * 4 + 2p * 4) + -12p = 16p + 12 (4 + 8p) + -12p = 16p + 12 Combine like terms: 8p + -12p = -4p 4 + -4p = 16p + 12 Reorder the terms: 4 + -4p = 12 + 16p Solving 4 + -4p = 12 + 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. 4 + -4p + -16p = 12 + 16p + -16p Combine like terms: -4p + -16p = -20p 4 + -20p = 12 + 16p + -16p Combine like terms: 16p + -16p = 0 4 + -20p = 12 + 0 4 + -20p = 12 Add '-4' to each side of the equation. 4 + -4 + -20p = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -20p = 12 + -4 -20p = 12 + -4 Combine like terms: 12 + -4 = 8 -20p = 8 Divide each side by '-20'. p = -0.4 Simplifying p = -0.4
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