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Simplifying -8p + -4(3 + -4p) = 5(p + -2) + -20 -8p + (3 * -4 + -4p * -4) = 5(p + -2) + -20 -8p + (-12 + 16p) = 5(p + -2) + -20 Reorder the terms: -12 + -8p + 16p = 5(p + -2) + -20 Combine like terms: -8p + 16p = 8p -12 + 8p = 5(p + -2) + -20 Reorder the terms: -12 + 8p = 5(-2 + p) + -20 -12 + 8p = (-2 * 5 + p * 5) + -20 -12 + 8p = (-10 + 5p) + -20 Reorder the terms: -12 + 8p = -10 + -20 + 5p Combine like terms: -10 + -20 = -30 -12 + 8p = -30 + 5p Solving -12 + 8p = -30 + 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. -12 + 8p + -5p = -30 + 5p + -5p Combine like terms: 8p + -5p = 3p -12 + 3p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 3p = -30 + 0 -12 + 3p = -30 Add '12' to each side of the equation. -12 + 12 + 3p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -30 + 12 3p = -30 + 12 Combine like terms: -30 + 12 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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