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Simplifying -4p + -2(6 + -6p) = 5(p + -5) + -2 -4p + (6 * -2 + -6p * -2) = 5(p + -5) + -2 -4p + (-12 + 12p) = 5(p + -5) + -2 Reorder the terms: -12 + -4p + 12p = 5(p + -5) + -2 Combine like terms: -4p + 12p = 8p -12 + 8p = 5(p + -5) + -2 Reorder the terms: -12 + 8p = 5(-5 + p) + -2 -12 + 8p = (-5 * 5 + p * 5) + -2 -12 + 8p = (-25 + 5p) + -2 Reorder the terms: -12 + 8p = -25 + -2 + 5p Combine like terms: -25 + -2 = -27 -12 + 8p = -27 + 5p Solving -12 + 8p = -27 + 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 = -27 + 5p + -5p Combine like terms: 8p + -5p = 3p -12 + 3p = -27 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + 3p = -27 + 0 -12 + 3p = -27 Add '12' to each side of the equation. -12 + 12 + 3p = -27 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -27 + 12 3p = -27 + 12 Combine like terms: -27 + 12 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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