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Simplifying 7(2m + -2) + -5m = 8m + -14 Reorder the terms: 7(-2 + 2m) + -5m = 8m + -14 (-2 * 7 + 2m * 7) + -5m = 8m + -14 (-14 + 14m) + -5m = 8m + -14 Combine like terms: 14m + -5m = 9m -14 + 9m = 8m + -14 Reorder the terms: -14 + 9m = -14 + 8m Add '14' to each side of the equation. -14 + 14 + 9m = -14 + 14 + 8m Combine like terms: -14 + 14 = 0 0 + 9m = -14 + 14 + 8m 9m = -14 + 14 + 8m Combine like terms: -14 + 14 = 0 9m = 0 + 8m 9m = 8m Solving 9m = 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 9m + -8m = 8m + -8m Combine like terms: 9m + -8m = 1m 1m = 8m + -8m Combine like terms: 8m + -8m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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