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Simplifying 18 + -1(4m + 8) = 5 + 2m + -19 Reorder the terms: 18 + -1(8 + 4m) = 5 + 2m + -19 18 + (8 * -1 + 4m * -1) = 5 + 2m + -19 18 + (-8 + -4m) = 5 + 2m + -19 Combine like terms: 18 + -8 = 10 10 + -4m = 5 + 2m + -19 Reorder the terms: 10 + -4m = 5 + -19 + 2m Combine like terms: 5 + -19 = -14 10 + -4m = -14 + 2m Solving 10 + -4m = -14 + 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. 10 + -4m + -2m = -14 + 2m + -2m Combine like terms: -4m + -2m = -6m 10 + -6m = -14 + 2m + -2m Combine like terms: 2m + -2m = 0 10 + -6m = -14 + 0 10 + -6m = -14 Add '-10' to each side of the equation. 10 + -10 + -6m = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -6m = -14 + -10 -6m = -14 + -10 Combine like terms: -14 + -10 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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