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Simplifying 3p + -1(8p + 15) = 6 + -1(14) Reorder the terms: 3p + -1(15 + 8p) = 6 + -1(14) 3p + (15 * -1 + 8p * -1) = 6 + -1(14) 3p + (-15 + -8p) = 6 + -1(14) Reorder the terms: -15 + 3p + -8p = 6 + -1(14) Combine like terms: 3p + -8p = -5p -15 + -5p = 6 + -1(14) Multiply -1 * 14 -15 + -5p = 6 + -14 Combine like terms: 6 + -14 = -8 -15 + -5p = -8 Solving -15 + -5p = -8 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 + -5p = -8 + 15 Combine like terms: -15 + 15 = 0 0 + -5p = -8 + 15 -5p = -8 + 15 Combine like terms: -8 + 15 = 7 -5p = 7 Divide each side by '-5'. p = -1.4 Simplifying p = -1.4
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