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Simplifying -12p + -5(4 + -4p) = 5(p + -4) + -12 -12p + (4 * -5 + -4p * -5) = 5(p + -4) + -12 -12p + (-20 + 20p) = 5(p + -4) + -12 Reorder the terms: -20 + -12p + 20p = 5(p + -4) + -12 Combine like terms: -12p + 20p = 8p -20 + 8p = 5(p + -4) + -12 Reorder the terms: -20 + 8p = 5(-4 + p) + -12 -20 + 8p = (-4 * 5 + p * 5) + -12 -20 + 8p = (-20 + 5p) + -12 Reorder the terms: -20 + 8p = -20 + -12 + 5p Combine like terms: -20 + -12 = -32 -20 + 8p = -32 + 5p Solving -20 + 8p = -32 + 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. -20 + 8p + -5p = -32 + 5p + -5p Combine like terms: 8p + -5p = 3p -20 + 3p = -32 + 5p + -5p Combine like terms: 5p + -5p = 0 -20 + 3p = -32 + 0 -20 + 3p = -32 Add '20' to each side of the equation. -20 + 20 + 3p = -32 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -32 + 20 3p = -32 + 20 Combine like terms: -32 + 20 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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