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Simplifying 6(-1m + 7) + 7(6m + 7) = 2m + 7 + -5m Reorder the terms: 6(7 + -1m) + 7(6m + 7) = 2m + 7 + -5m (7 * 6 + -1m * 6) + 7(6m + 7) = 2m + 7 + -5m (42 + -6m) + 7(6m + 7) = 2m + 7 + -5m Reorder the terms: 42 + -6m + 7(7 + 6m) = 2m + 7 + -5m 42 + -6m + (7 * 7 + 6m * 7) = 2m + 7 + -5m 42 + -6m + (49 + 42m) = 2m + 7 + -5m Reorder the terms: 42 + 49 + -6m + 42m = 2m + 7 + -5m Combine like terms: 42 + 49 = 91 91 + -6m + 42m = 2m + 7 + -5m Combine like terms: -6m + 42m = 36m 91 + 36m = 2m + 7 + -5m Reorder the terms: 91 + 36m = 7 + 2m + -5m Combine like terms: 2m + -5m = -3m 91 + 36m = 7 + -3m Solving 91 + 36m = 7 + -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. 91 + 36m + 3m = 7 + -3m + 3m Combine like terms: 36m + 3m = 39m 91 + 39m = 7 + -3m + 3m Combine like terms: -3m + 3m = 0 91 + 39m = 7 + 0 91 + 39m = 7 Add '-91' to each side of the equation. 91 + -91 + 39m = 7 + -91 Combine like terms: 91 + -91 = 0 0 + 39m = 7 + -91 39m = 7 + -91 Combine like terms: 7 + -91 = -84 39m = -84 Divide each side by '39'. m = -2.153846154 Simplifying m = -2.153846154
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