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Simplifying -5(3 + 6) = -3(4m + -2) Combine like terms: 3 + 6 = 9 -5(9) = -3(4m + -2) Multiply -5 * 9 -45 = -3(4m + -2) Reorder the terms: -45 = -3(-2 + 4m) -45 = (-2 * -3 + 4m * -3) -45 = (6 + -12m) Solving -45 = 6 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -45 + 12m = 6 + -12m + 12m Combine like terms: -12m + 12m = 0 -45 + 12m = 6 + 0 -45 + 12m = 6 Add '45' to each side of the equation. -45 + 45 + 12m = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 12m = 6 + 45 12m = 6 + 45 Combine like terms: 6 + 45 = 51 12m = 51 Divide each side by '12'. m = 4.25 Simplifying m = 4.25
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