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Simplifying 9p + -8(p + -5) + 6 = 39 Reorder the terms: 9p + -8(-5 + p) + 6 = 39 9p + (-5 * -8 + p * -8) + 6 = 39 9p + (40 + -8p) + 6 = 39 Reorder the terms: 40 + 6 + 9p + -8p = 39 Combine like terms: 40 + 6 = 46 46 + 9p + -8p = 39 Combine like terms: 9p + -8p = 1p 46 + 1p = 39 Solving 46 + 1p = 39 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 1p = 39 + -46 Combine like terms: 46 + -46 = 0 0 + 1p = 39 + -46 1p = 39 + -46 Combine like terms: 39 + -46 = -7 1p = -7 Divide each side by '1'. p = -7 Simplifying p = -7
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