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Simplifying 3m + -12 = -5m + -6(2 + 4m) Reorder the terms: -12 + 3m = -5m + -6(2 + 4m) -12 + 3m = -5m + (2 * -6 + 4m * -6) -12 + 3m = -5m + (-12 + -24m) Reorder the terms: -12 + 3m = -12 + -5m + -24m Combine like terms: -5m + -24m = -29m -12 + 3m = -12 + -29m Add '12' to each side of the equation. -12 + 12 + 3m = -12 + 12 + -29m Combine like terms: -12 + 12 = 0 0 + 3m = -12 + 12 + -29m 3m = -12 + 12 + -29m Combine like terms: -12 + 12 = 0 3m = 0 + -29m 3m = -29m Solving 3m = -29m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '29m' to each side of the equation. 3m + 29m = -29m + 29m Combine like terms: 3m + 29m = 32m 32m = -29m + 29m Combine like terms: -29m + 29m = 0 32m = 0 Divide each side by '32'. m = 0 Simplifying m = 0
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