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Simplifying 2(m + 7) = 4(11 + -1m) Reorder the terms: 2(7 + m) = 4(11 + -1m) (7 * 2 + m * 2) = 4(11 + -1m) (14 + 2m) = 4(11 + -1m) 14 + 2m = (11 * 4 + -1m * 4) 14 + 2m = (44 + -4m) Solving 14 + 2m = 44 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 14 + 2m + 4m = 44 + -4m + 4m Combine like terms: 2m + 4m = 6m 14 + 6m = 44 + -4m + 4m Combine like terms: -4m + 4m = 0 14 + 6m = 44 + 0 14 + 6m = 44 Add '-14' to each side of the equation. 14 + -14 + 6m = 44 + -14 Combine like terms: 14 + -14 = 0 0 + 6m = 44 + -14 6m = 44 + -14 Combine like terms: 44 + -14 = 30 6m = 30 Divide each side by '6'. m = 5 Simplifying m = 5
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