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Simplifying 6m + -2(7 + 3m) = 5(2m + -3) + -1m 6m + (7 * -2 + 3m * -2) = 5(2m + -3) + -1m 6m + (-14 + -6m) = 5(2m + -3) + -1m Reorder the terms: -14 + 6m + -6m = 5(2m + -3) + -1m Combine like terms: 6m + -6m = 0 -14 + 0 = 5(2m + -3) + -1m -14 = 5(2m + -3) + -1m Reorder the terms: -14 = 5(-3 + 2m) + -1m -14 = (-3 * 5 + 2m * 5) + -1m -14 = (-15 + 10m) + -1m Combine like terms: 10m + -1m = 9m -14 = -15 + 9m Solving -14 = -15 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -14 + -9m = -15 + 9m + -9m Combine like terms: 9m + -9m = 0 -14 + -9m = -15 + 0 -14 + -9m = -15 Add '14' to each side of the equation. -14 + 14 + -9m = -15 + 14 Combine like terms: -14 + 14 = 0 0 + -9m = -15 + 14 -9m = -15 + 14 Combine like terms: -15 + 14 = -1 -9m = -1 Divide each side by '-9'. m = 0.1111111111 Simplifying m = 0.1111111111
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