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Simplifying 8(-2p + 1) + 7 = -65 Reorder the terms: 8(1 + -2p) + 7 = -65 (1 * 8 + -2p * 8) + 7 = -65 (8 + -16p) + 7 = -65 Reorder the terms: 8 + 7 + -16p = -65 Combine like terms: 8 + 7 = 15 15 + -16p = -65 Solving 15 + -16p = -65 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -16p = -65 + -15 Combine like terms: 15 + -15 = 0 0 + -16p = -65 + -15 -16p = -65 + -15 Combine like terms: -65 + -15 = -80 -16p = -80 Divide each side by '-16'. p = 5 Simplifying p = 5
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