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Simplifying -1(1 + 7p) + 8(-3p + 2) = -18 (1 * -1 + 7p * -1) + 8(-3p + 2) = -18 (-1 + -7p) + 8(-3p + 2) = -18 Reorder the terms: -1 + -7p + 8(2 + -3p) = -18 -1 + -7p + (2 * 8 + -3p * 8) = -18 -1 + -7p + (16 + -24p) = -18 Reorder the terms: -1 + 16 + -7p + -24p = -18 Combine like terms: -1 + 16 = 15 15 + -7p + -24p = -18 Combine like terms: -7p + -24p = -31p 15 + -31p = -18 Solving 15 + -31p = -18 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 + -31p = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -31p = -18 + -15 -31p = -18 + -15 Combine like terms: -18 + -15 = -33 -31p = -33 Divide each side by '-31'. p = 1.064516129 Simplifying p = 1.064516129
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