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Simplifying -5(3m + -6) = 4(3p + -6) + -8p Reorder the terms: -5(-6 + 3m) = 4(3p + -6) + -8p (-6 * -5 + 3m * -5) = 4(3p + -6) + -8p (30 + -15m) = 4(3p + -6) + -8p Reorder the terms: 30 + -15m = 4(-6 + 3p) + -8p 30 + -15m = (-6 * 4 + 3p * 4) + -8p 30 + -15m = (-24 + 12p) + -8p Combine like terms: 12p + -8p = 4p 30 + -15m = -24 + 4p Solving 30 + -15m = -24 + 4p Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -15m = -24 + -30 + 4p Combine like terms: 30 + -30 = 0 0 + -15m = -24 + -30 + 4p -15m = -24 + -30 + 4p Combine like terms: -24 + -30 = -54 -15m = -54 + 4p Divide each side by '-15'. m = 3.6 + -0.2666666667p Simplifying m = 3.6 + -0.2666666667p
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