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Simplifying 4(4 + 2p) + 3(-3p + -1) = 15 (4 * 4 + 2p * 4) + 3(-3p + -1) = 15 (16 + 8p) + 3(-3p + -1) = 15 Reorder the terms: 16 + 8p + 3(-1 + -3p) = 15 16 + 8p + (-1 * 3 + -3p * 3) = 15 16 + 8p + (-3 + -9p) = 15 Reorder the terms: 16 + -3 + 8p + -9p = 15 Combine like terms: 16 + -3 = 13 13 + 8p + -9p = 15 Combine like terms: 8p + -9p = -1p 13 + -1p = 15 Solving 13 + -1p = 15 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1p = 15 + -13 Combine like terms: 13 + -13 = 0 0 + -1p = 15 + -13 -1p = 15 + -13 Combine like terms: 15 + -13 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2
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