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Simplifying 8p + -5(p + 3) = (7p + -13) Reorder the terms: 8p + -5(3 + p) = (7p + -13) 8p + (3 * -5 + p * -5) = (7p + -13) 8p + (-15 + -5p) = (7p + -13) Reorder the terms: -15 + 8p + -5p = (7p + -13) Combine like terms: 8p + -5p = 3p -15 + 3p = (7p + -13) Reorder the terms: -15 + 3p = (-13 + 7p) Remove parenthesis around (-13 + 7p) -15 + 3p = -13 + 7p Solving -15 + 3p = -13 + 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. -15 + 3p + -7p = -13 + 7p + -7p Combine like terms: 3p + -7p = -4p -15 + -4p = -13 + 7p + -7p Combine like terms: 7p + -7p = 0 -15 + -4p = -13 + 0 -15 + -4p = -13 Add '15' to each side of the equation. -15 + 15 + -4p = -13 + 15 Combine like terms: -15 + 15 = 0 0 + -4p = -13 + 15 -4p = -13 + 15 Combine like terms: -13 + 15 = 2 -4p = 2 Divide each side by '-4'. p = -0.5 Simplifying p = -0.5
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