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Simplifying 4(2p + 7) + -5(p + -1) = 12 Reorder the terms: 4(7 + 2p) + -5(p + -1) = 12 (7 * 4 + 2p * 4) + -5(p + -1) = 12 (28 + 8p) + -5(p + -1) = 12 Reorder the terms: 28 + 8p + -5(-1 + p) = 12 28 + 8p + (-1 * -5 + p * -5) = 12 28 + 8p + (5 + -5p) = 12 Reorder the terms: 28 + 5 + 8p + -5p = 12 Combine like terms: 28 + 5 = 33 33 + 8p + -5p = 12 Combine like terms: 8p + -5p = 3p 33 + 3p = 12 Solving 33 + 3p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 3p = 12 + -33 Combine like terms: 33 + -33 = 0 0 + 3p = 12 + -33 3p = 12 + -33 Combine like terms: 12 + -33 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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