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Simplifying -5(-6m + 1) = 3(-2m + 3) Reorder the terms: -5(1 + -6m) = 3(-2m + 3) (1 * -5 + -6m * -5) = 3(-2m + 3) (-5 + 30m) = 3(-2m + 3) Reorder the terms: -5 + 30m = 3(3 + -2m) -5 + 30m = (3 * 3 + -2m * 3) -5 + 30m = (9 + -6m) Solving -5 + 30m = 9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -5 + 30m + 6m = 9 + -6m + 6m Combine like terms: 30m + 6m = 36m -5 + 36m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 -5 + 36m = 9 + 0 -5 + 36m = 9 Add '5' to each side of the equation. -5 + 5 + 36m = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 36m = 9 + 5 36m = 9 + 5 Combine like terms: 9 + 5 = 14 36m = 14 Divide each side by '36'. m = 0.3888888889 Simplifying m = 0.3888888889
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