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Simplifying -12p + -4(4 + -5p) = 3(p + -3) + -17 -12p + (4 * -4 + -5p * -4) = 3(p + -3) + -17 -12p + (-16 + 20p) = 3(p + -3) + -17 Reorder the terms: -16 + -12p + 20p = 3(p + -3) + -17 Combine like terms: -12p + 20p = 8p -16 + 8p = 3(p + -3) + -17 Reorder the terms: -16 + 8p = 3(-3 + p) + -17 -16 + 8p = (-3 * 3 + p * 3) + -17 -16 + 8p = (-9 + 3p) + -17 Reorder the terms: -16 + 8p = -9 + -17 + 3p Combine like terms: -9 + -17 = -26 -16 + 8p = -26 + 3p Solving -16 + 8p = -26 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -16 + 8p + -3p = -26 + 3p + -3p Combine like terms: 8p + -3p = 5p -16 + 5p = -26 + 3p + -3p Combine like terms: 3p + -3p = 0 -16 + 5p = -26 + 0 -16 + 5p = -26 Add '16' to each side of the equation. -16 + 16 + 5p = -26 + 16 Combine like terms: -16 + 16 = 0 0 + 5p = -26 + 16 5p = -26 + 16 Combine like terms: -26 + 16 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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