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Simplifying 3p + -12(p + -2) = 5(p + 5) + 13 Reorder the terms: 3p + -12(-2 + p) = 5(p + 5) + 13 3p + (-2 * -12 + p * -12) = 5(p + 5) + 13 3p + (24 + -12p) = 5(p + 5) + 13 Reorder the terms: 24 + 3p + -12p = 5(p + 5) + 13 Combine like terms: 3p + -12p = -9p 24 + -9p = 5(p + 5) + 13 Reorder the terms: 24 + -9p = 5(5 + p) + 13 24 + -9p = (5 * 5 + p * 5) + 13 24 + -9p = (25 + 5p) + 13 Reorder the terms: 24 + -9p = 25 + 13 + 5p Combine like terms: 25 + 13 = 38 24 + -9p = 38 + 5p Solving 24 + -9p = 38 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 24 + -9p + -5p = 38 + 5p + -5p Combine like terms: -9p + -5p = -14p 24 + -14p = 38 + 5p + -5p Combine like terms: 5p + -5p = 0 24 + -14p = 38 + 0 24 + -14p = 38 Add '-24' to each side of the equation. 24 + -24 + -14p = 38 + -24 Combine like terms: 24 + -24 = 0 0 + -14p = 38 + -24 -14p = 38 + -24 Combine like terms: 38 + -24 = 14 -14p = 14 Divide each side by '-14'. p = -1 Simplifying p = -1
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