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Simplifying 4(3m + -5) = 6(m + -8) + -1m Reorder the terms: 4(-5 + 3m) = 6(m + -8) + -1m (-5 * 4 + 3m * 4) = 6(m + -8) + -1m (-20 + 12m) = 6(m + -8) + -1m Reorder the terms: -20 + 12m = 6(-8 + m) + -1m -20 + 12m = (-8 * 6 + m * 6) + -1m -20 + 12m = (-48 + 6m) + -1m Combine like terms: 6m + -1m = 5m -20 + 12m = -48 + 5m Solving -20 + 12m = -48 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -20 + 12m + -5m = -48 + 5m + -5m Combine like terms: 12m + -5m = 7m -20 + 7m = -48 + 5m + -5m Combine like terms: 5m + -5m = 0 -20 + 7m = -48 + 0 -20 + 7m = -48 Add '20' to each side of the equation. -20 + 20 + 7m = -48 + 20 Combine like terms: -20 + 20 = 0 0 + 7m = -48 + 20 7m = -48 + 20 Combine like terms: -48 + 20 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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