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Simplifying 4(3m + -2) + 10 = 10m + -24 Reorder the terms: 4(-2 + 3m) + 10 = 10m + -24 (-2 * 4 + 3m * 4) + 10 = 10m + -24 (-8 + 12m) + 10 = 10m + -24 Reorder the terms: -8 + 10 + 12m = 10m + -24 Combine like terms: -8 + 10 = 2 2 + 12m = 10m + -24 Reorder the terms: 2 + 12m = -24 + 10m Solving 2 + 12m = -24 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 2 + 12m + -10m = -24 + 10m + -10m Combine like terms: 12m + -10m = 2m 2 + 2m = -24 + 10m + -10m Combine like terms: 10m + -10m = 0 2 + 2m = -24 + 0 2 + 2m = -24 Add '-2' to each side of the equation. 2 + -2 + 2m = -24 + -2 Combine like terms: 2 + -2 = 0 0 + 2m = -24 + -2 2m = -24 + -2 Combine like terms: -24 + -2 = -26 2m = -26 Divide each side by '2'. m = -13 Simplifying m = -13
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