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Simplifying 12 + 4(m + -1) = 5(2m + 3) Reorder the terms: 12 + 4(-1 + m) = 5(2m + 3) 12 + (-1 * 4 + m * 4) = 5(2m + 3) 12 + (-4 + 4m) = 5(2m + 3) Combine like terms: 12 + -4 = 8 8 + 4m = 5(2m + 3) Reorder the terms: 8 + 4m = 5(3 + 2m) 8 + 4m = (3 * 5 + 2m * 5) 8 + 4m = (15 + 10m) Solving 8 + 4m = 15 + 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. 8 + 4m + -10m = 15 + 10m + -10m Combine like terms: 4m + -10m = -6m 8 + -6m = 15 + 10m + -10m Combine like terms: 10m + -10m = 0 8 + -6m = 15 + 0 8 + -6m = 15 Add '-8' to each side of the equation. 8 + -8 + -6m = 15 + -8 Combine like terms: 8 + -8 = 0 0 + -6m = 15 + -8 -6m = 15 + -8 Combine like terms: 15 + -8 = 7 -6m = 7 Divide each side by '-6'. m = -1.166666667 Simplifying m = -1.166666667
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