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Simplifying 4(2p + 1) + -12p = 2(8 + 12) Reorder the terms: 4(1 + 2p) + -12p = 2(8 + 12) (1 * 4 + 2p * 4) + -12p = 2(8 + 12) (4 + 8p) + -12p = 2(8 + 12) Combine like terms: 8p + -12p = -4p 4 + -4p = 2(8 + 12) Combine like terms: 8 + 12 = 20 4 + -4p = 2(20) Multiply 2 * 20 4 + -4p = 40 Solving 4 + -4p = 40 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -4p = 40 + -4 Combine like terms: 4 + -4 = 0 0 + -4p = 40 + -4 -4p = 40 + -4 Combine like terms: 40 + -4 = 36 -4p = 36 Divide each side by '-4'. p = -9 Simplifying p = -9
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