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Simplifying 14 + -1(2m + 3) = 5 + 4m + -18 Reorder the terms: 14 + -1(3 + 2m) = 5 + 4m + -18 14 + (3 * -1 + 2m * -1) = 5 + 4m + -18 14 + (-3 + -2m) = 5 + 4m + -18 Combine like terms: 14 + -3 = 11 11 + -2m = 5 + 4m + -18 Reorder the terms: 11 + -2m = 5 + -18 + 4m Combine like terms: 5 + -18 = -13 11 + -2m = -13 + 4m Solving 11 + -2m = -13 + 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. 11 + -2m + -4m = -13 + 4m + -4m Combine like terms: -2m + -4m = -6m 11 + -6m = -13 + 4m + -4m Combine like terms: 4m + -4m = 0 11 + -6m = -13 + 0 11 + -6m = -13 Add '-11' to each side of the equation. 11 + -11 + -6m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -6m = -13 + -11 -6m = -13 + -11 Combine like terms: -13 + -11 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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