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Simplifying 18 + -1(4m + 3) = 3 + 2m + -12 Reorder the terms: 18 + -1(3 + 4m) = 3 + 2m + -12 18 + (3 * -1 + 4m * -1) = 3 + 2m + -12 18 + (-3 + -4m) = 3 + 2m + -12 Combine like terms: 18 + -3 = 15 15 + -4m = 3 + 2m + -12 Reorder the terms: 15 + -4m = 3 + -12 + 2m Combine like terms: 3 + -12 = -9 15 + -4m = -9 + 2m Solving 15 + -4m = -9 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 15 + -4m + -2m = -9 + 2m + -2m Combine like terms: -4m + -2m = -6m 15 + -6m = -9 + 2m + -2m Combine like terms: 2m + -2m = 0 15 + -6m = -9 + 0 15 + -6m = -9 Add '-15' to each side of the equation. 15 + -15 + -6m = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6m = -9 + -15 -6m = -9 + -15 Combine like terms: -9 + -15 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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