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Simplifying -4p + -6(4 + -2p) = 5(p + -6) + -12 -4p + (4 * -6 + -2p * -6) = 5(p + -6) + -12 -4p + (-24 + 12p) = 5(p + -6) + -12 Reorder the terms: -24 + -4p + 12p = 5(p + -6) + -12 Combine like terms: -4p + 12p = 8p -24 + 8p = 5(p + -6) + -12 Reorder the terms: -24 + 8p = 5(-6 + p) + -12 -24 + 8p = (-6 * 5 + p * 5) + -12 -24 + 8p = (-30 + 5p) + -12 Reorder the terms: -24 + 8p = -30 + -12 + 5p Combine like terms: -30 + -12 = -42 -24 + 8p = -42 + 5p Solving -24 + 8p = -42 + 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. -24 + 8p + -5p = -42 + 5p + -5p Combine like terms: 8p + -5p = 3p -24 + 3p = -42 + 5p + -5p Combine like terms: 5p + -5p = 0 -24 + 3p = -42 + 0 -24 + 3p = -42 Add '24' to each side of the equation. -24 + 24 + 3p = -42 + 24 Combine like terms: -24 + 24 = 0 0 + 3p = -42 + 24 3p = -42 + 24 Combine like terms: -42 + 24 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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