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Simplifying -3(p + -4) + 15 = 5(p + -7) + -10 Reorder the terms: -3(-4 + p) + 15 = 5(p + -7) + -10 (-4 * -3 + p * -3) + 15 = 5(p + -7) + -10 (12 + -3p) + 15 = 5(p + -7) + -10 Reorder the terms: 12 + 15 + -3p = 5(p + -7) + -10 Combine like terms: 12 + 15 = 27 27 + -3p = 5(p + -7) + -10 Reorder the terms: 27 + -3p = 5(-7 + p) + -10 27 + -3p = (-7 * 5 + p * 5) + -10 27 + -3p = (-35 + 5p) + -10 Reorder the terms: 27 + -3p = -35 + -10 + 5p Combine like terms: -35 + -10 = -45 27 + -3p = -45 + 5p Solving 27 + -3p = -45 + 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. 27 + -3p + -5p = -45 + 5p + -5p Combine like terms: -3p + -5p = -8p 27 + -8p = -45 + 5p + -5p Combine like terms: 5p + -5p = 0 27 + -8p = -45 + 0 27 + -8p = -45 Add '-27' to each side of the equation. 27 + -27 + -8p = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -8p = -45 + -27 -8p = -45 + -27 Combine like terms: -45 + -27 = -72 -8p = -72 Divide each side by '-8'. p = 9 Simplifying p = 9
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