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Simplifying 6m + -2(7 + 3m) = (2m + -3) + -1m 6m + (7 * -2 + 3m * -2) = (2m + -3) + -1m 6m + (-14 + -6m) = (2m + -3) + -1m Reorder the terms: -14 + 6m + -6m = (2m + -3) + -1m Combine like terms: 6m + -6m = 0 -14 + 0 = (2m + -3) + -1m -14 = (2m + -3) + -1m Reorder the terms: -14 = (-3 + 2m) + -1m Remove parenthesis around (-3 + 2m) -14 = -3 + 2m + -1m Combine like terms: 2m + -1m = 1m -14 = -3 + 1m Solving -14 = -3 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -14 + -1m = -3 + 1m + -1m Combine like terms: 1m + -1m = 0 -14 + -1m = -3 + 0 -14 + -1m = -3 Add '14' to each side of the equation. -14 + 14 + -1m = -3 + 14 Combine like terms: -14 + 14 = 0 0 + -1m = -3 + 14 -1m = -3 + 14 Combine like terms: -3 + 14 = 11 -1m = 11 Divide each side by '-1'. m = -11 Simplifying m = -11
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