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Simplifying 3p + p = -3(6 + -5p) + 8(3 + -1p) Combine like terms: 3p + p = 4p 4p = -3(6 + -5p) + 8(3 + -1p) 4p = (6 * -3 + -5p * -3) + 8(3 + -1p) 4p = (-18 + 15p) + 8(3 + -1p) 4p = -18 + 15p + (3 * 8 + -1p * 8) 4p = -18 + 15p + (24 + -8p) Reorder the terms: 4p = -18 + 24 + 15p + -8p Combine like terms: -18 + 24 = 6 4p = 6 + 15p + -8p Combine like terms: 15p + -8p = 7p 4p = 6 + 7p Solving 4p = 6 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 4p + -7p = 6 + 7p + -7p Combine like terms: 4p + -7p = -3p -3p = 6 + 7p + -7p Combine like terms: 7p + -7p = 0 -3p = 6 + 0 -3p = 6 Divide each side by '-3'. p = -2 Simplifying p = -2
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