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Simplifying 14 + -1(5m + 3) = 5 + 3m + -18 Reorder the terms: 14 + -1(3 + 5m) = 5 + 3m + -18 14 + (3 * -1 + 5m * -1) = 5 + 3m + -18 14 + (-3 + -5m) = 5 + 3m + -18 Combine like terms: 14 + -3 = 11 11 + -5m = 5 + 3m + -18 Reorder the terms: 11 + -5m = 5 + -18 + 3m Combine like terms: 5 + -18 = -13 11 + -5m = -13 + 3m Solving 11 + -5m = -13 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 11 + -5m + -3m = -13 + 3m + -3m Combine like terms: -5m + -3m = -8m 11 + -8m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 11 + -8m = -13 + 0 11 + -8m = -13 Add '-11' to each side of the equation. 11 + -11 + -8m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -8m = -13 + -11 -8m = -13 + -11 Combine like terms: -13 + -11 = -24 -8m = -24 Divide each side by '-8'. m = 3 Simplifying m = 3
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