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Simplifying -7(2p + -1) + 3(8 + -1p) = 0 Reorder the terms: -7(-1 + 2p) + 3(8 + -1p) = 0 (-1 * -7 + 2p * -7) + 3(8 + -1p) = 0 (7 + -14p) + 3(8 + -1p) = 0 7 + -14p + (8 * 3 + -1p * 3) = 0 7 + -14p + (24 + -3p) = 0 Reorder the terms: 7 + 24 + -14p + -3p = 0 Combine like terms: 7 + 24 = 31 31 + -14p + -3p = 0 Combine like terms: -14p + -3p = -17p 31 + -17p = 0 Solving 31 + -17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -17p = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -17p = 0 + -31 -17p = 0 + -31 Combine like terms: 0 + -31 = -31 -17p = -31 Divide each side by '-17'. p = 1.823529412 Simplifying p = 1.823529412
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