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Simplifying 14 + -1(2m + 4) = 4 + 4m + -18 Reorder the terms: 14 + -1(4 + 2m) = 4 + 4m + -18 14 + (4 * -1 + 2m * -1) = 4 + 4m + -18 14 + (-4 + -2m) = 4 + 4m + -18 Combine like terms: 14 + -4 = 10 10 + -2m = 4 + 4m + -18 Reorder the terms: 10 + -2m = 4 + -18 + 4m Combine like terms: 4 + -18 = -14 10 + -2m = -14 + 4m Solving 10 + -2m = -14 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 10 + -2m + -4m = -14 + 4m + -4m Combine like terms: -2m + -4m = -6m 10 + -6m = -14 + 4m + -4m Combine like terms: 4m + -4m = 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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