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Simplifying -3(2m + -5) = 4(5m + -1) + 6 Reorder the terms: -3(-5 + 2m) = 4(5m + -1) + 6 (-5 * -3 + 2m * -3) = 4(5m + -1) + 6 (15 + -6m) = 4(5m + -1) + 6 Reorder the terms: 15 + -6m = 4(-1 + 5m) + 6 15 + -6m = (-1 * 4 + 5m * 4) + 6 15 + -6m = (-4 + 20m) + 6 Reorder the terms: 15 + -6m = -4 + 6 + 20m Combine like terms: -4 + 6 = 2 15 + -6m = 2 + 20m Solving 15 + -6m = 2 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 15 + -6m + -20m = 2 + 20m + -20m Combine like terms: -6m + -20m = -26m 15 + -26m = 2 + 20m + -20m Combine like terms: 20m + -20m = 0 15 + -26m = 2 + 0 15 + -26m = 2 Add '-15' to each side of the equation. 15 + -15 + -26m = 2 + -15 Combine like terms: 15 + -15 = 0 0 + -26m = 2 + -15 -26m = 2 + -15 Combine like terms: 2 + -15 = -13 -26m = -13 Divide each side by '-26'. m = 0.5 Simplifying m = 0.5
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