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