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Simplifying -12p + -4(2 + -5p) = 5(p + -3) + -2 -12p + (2 * -4 + -5p * -4) = 5(p + -3) + -2 -12p + (-8 + 20p) = 5(p + -3) + -2 Reorder the terms: -8 + -12p + 20p = 5(p + -3) + -2 Combine like terms: -12p + 20p = 8p -8 + 8p = 5(p + -3) + -2 Reorder the terms: -8 + 8p = 5(-3 + p) + -2 -8 + 8p = (-3 * 5 + p * 5) + -2 -8 + 8p = (-15 + 5p) + -2 Reorder the terms: -8 + 8p = -15 + -2 + 5p Combine like terms: -15 + -2 = -17 -8 + 8p = -17 + 5p Solving -8 + 8p = -17 + 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. -8 + 8p + -5p = -17 + 5p + -5p Combine like terms: 8p + -5p = 3p -8 + 3p = -17 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 3p = -17 + 0 -8 + 3p = -17 Add '8' to each side of the equation. -8 + 8 + 3p = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = -17 + 8 3p = -17 + 8 Combine like terms: -17 + 8 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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