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Simplifying 12 + 4(m + -3) + -1m = 6(5 + -1m) + 10 Reorder the terms: 12 + 4(-3 + m) + -1m = 6(5 + -1m) + 10 12 + (-3 * 4 + m * 4) + -1m = 6(5 + -1m) + 10 12 + (-12 + 4m) + -1m = 6(5 + -1m) + 10 Combine like terms: 12 + -12 = 0 0 + 4m + -1m = 6(5 + -1m) + 10 4m + -1m = 6(5 + -1m) + 10 Combine like terms: 4m + -1m = 3m 3m = 6(5 + -1m) + 10 3m = (5 * 6 + -1m * 6) + 10 3m = (30 + -6m) + 10 Reorder the terms: 3m = 30 + 10 + -6m Combine like terms: 30 + 10 = 40 3m = 40 + -6m Solving 3m = 40 + -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. 3m + 6m = 40 + -6m + 6m Combine like terms: 3m + 6m = 9m 9m = 40 + -6m + 6m Combine like terms: -6m + 6m = 0 9m = 40 + 0 9m = 40 Divide each side by '9'. m = 4.444444444 Simplifying m = 4.444444444
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