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Simplifying 2[3(2m + 4)] + -5m = -13 + -1(-2) Reorder the terms: 2[3(4 + 2m)] + -5m = -13 + -1(-2) 2[(4 * 3 + 2m * 3)] + -5m = -13 + -1(-2) 2[(12 + 6m)] + -5m = -13 + -1(-2) [12 * 2 + 6m * 2] + -5m = -13 + -1(-2) [24 + 12m] + -5m = -13 + -1(-2) Combine like terms: 12m + -5m = 7m 24 + 7m = -13 + -1(-2) Multiply -1 * -2 24 + 7m = -13 + 2 Combine like terms: -13 + 2 = -11 24 + 7m = -11 Solving 24 + 7m = -11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7m = -11 + -24 Combine like terms: 24 + -24 = 0 0 + 7m = -11 + -24 7m = -11 + -24 Combine like terms: -11 + -24 = -35 7m = -35 Divide each side by '7'. m = -5 Simplifying m = -5
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