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Simplifying 2(m + -6) + 3m = 4(3 + -1m) Reorder the terms: 2(-6 + m) + 3m = 4(3 + -1m) (-6 * 2 + m * 2) + 3m = 4(3 + -1m) (-12 + 2m) + 3m = 4(3 + -1m) Combine like terms: 2m + 3m = 5m -12 + 5m = 4(3 + -1m) -12 + 5m = (3 * 4 + -1m * 4) -12 + 5m = (12 + -4m) Solving -12 + 5m = 12 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -12 + 5m + 4m = 12 + -4m + 4m Combine like terms: 5m + 4m = 9m -12 + 9m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 -12 + 9m = 12 + 0 -12 + 9m = 12 Add '12' to each side of the equation. -12 + 12 + 9m = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 9m = 12 + 12 9m = 12 + 12 Combine like terms: 12 + 12 = 24 9m = 24 Divide each side by '9'. m = 2.666666667 Simplifying m = 2.666666667
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