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Simplifying 13 = 8(p + -1) + -3 Reorder the terms: 13 = 8(-1 + p) + -3 13 = (-1 * 8 + p * 8) + -3 13 = (-8 + 8p) + -3 Reorder the terms: 13 = -8 + -3 + 8p Combine like terms: -8 + -3 = -11 13 = -11 + 8p Solving 13 = -11 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 13 + -8p = -11 + 8p + -8p Combine like terms: 8p + -8p = 0 13 + -8p = -11 + 0 13 + -8p = -11 Add '-13' to each side of the equation. 13 + -13 + -8p = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -8p = -11 + -13 -8p = -11 + -13 Combine like terms: -11 + -13 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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