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Simplifying 8p + -5(p + 3) = 13(7p + -1) Reorder the terms: 8p + -5(3 + p) = 13(7p + -1) 8p + (3 * -5 + p * -5) = 13(7p + -1) 8p + (-15 + -5p) = 13(7p + -1) Reorder the terms: -15 + 8p + -5p = 13(7p + -1) Combine like terms: 8p + -5p = 3p -15 + 3p = 13(7p + -1) Reorder the terms: -15 + 3p = 13(-1 + 7p) -15 + 3p = (-1 * 13 + 7p * 13) -15 + 3p = (-13 + 91p) Solving -15 + 3p = -13 + 91p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-91p' to each side of the equation. -15 + 3p + -91p = -13 + 91p + -91p Combine like terms: 3p + -91p = -88p -15 + -88p = -13 + 91p + -91p Combine like terms: 91p + -91p = 0 -15 + -88p = -13 + 0 -15 + -88p = -13 Add '15' to each side of the equation. -15 + 15 + -88p = -13 + 15 Combine like terms: -15 + 15 = 0 0 + -88p = -13 + 15 -88p = -13 + 15 Combine like terms: -13 + 15 = 2 -88p = 2 Divide each side by '-88'. p = -0.02272727273 Simplifying p = -0.02272727273
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