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Simplifying 12m + 4(m + -3) + -1m = 6(5 + -1m) + 10 Reorder the terms: 12m + 4(-3 + m) + -1m = 6(5 + -1m) + 10 12m + (-3 * 4 + m * 4) + -1m = 6(5 + -1m) + 10 12m + (-12 + 4m) + -1m = 6(5 + -1m) + 10 Reorder the terms: -12 + 12m + 4m + -1m = 6(5 + -1m) + 10 Combine like terms: 12m + 4m = 16m -12 + 16m + -1m = 6(5 + -1m) + 10 Combine like terms: 16m + -1m = 15m -12 + 15m = 6(5 + -1m) + 10 -12 + 15m = (5 * 6 + -1m * 6) + 10 -12 + 15m = (30 + -6m) + 10 Reorder the terms: -12 + 15m = 30 + 10 + -6m Combine like terms: 30 + 10 = 40 -12 + 15m = 40 + -6m Solving -12 + 15m = 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. -12 + 15m + 6m = 40 + -6m + 6m Combine like terms: 15m + 6m = 21m -12 + 21m = 40 + -6m + 6m Combine like terms: -6m + 6m = 0 -12 + 21m = 40 + 0 -12 + 21m = 40 Add '12' to each side of the equation. -12 + 12 + 21m = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 21m = 40 + 12 21m = 40 + 12 Combine like terms: 40 + 12 = 52 21m = 52 Divide each side by '21'. m = 2.476190476 Simplifying m = 2.476190476
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