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Simplifying 4(3 + -1m) = 5(2m + 1) (3 * 4 + -1m * 4) = 5(2m + 1) (12 + -4m) = 5(2m + 1) Reorder the terms: 12 + -4m = 5(1 + 2m) 12 + -4m = (1 * 5 + 2m * 5) 12 + -4m = (5 + 10m) Solving 12 + -4m = 5 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 12 + -4m + -10m = 5 + 10m + -10m Combine like terms: -4m + -10m = -14m 12 + -14m = 5 + 10m + -10m Combine like terms: 10m + -10m = 0 12 + -14m = 5 + 0 12 + -14m = 5 Add '-12' to each side of the equation. 12 + -12 + -14m = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -14m = 5 + -12 -14m = 5 + -12 Combine like terms: 5 + -12 = -7 -14m = -7 Divide each side by '-14'. m = 0.5 Simplifying m = 0.5
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