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Simplifying 2(1 + -1m) = 6(3m + 7) (1 * 2 + -1m * 2) = 6(3m + 7) (2 + -2m) = 6(3m + 7) Reorder the terms: 2 + -2m = 6(7 + 3m) 2 + -2m = (7 * 6 + 3m * 6) 2 + -2m = (42 + 18m) Solving 2 + -2m = 42 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 2 + -2m + -18m = 42 + 18m + -18m Combine like terms: -2m + -18m = -20m 2 + -20m = 42 + 18m + -18m Combine like terms: 18m + -18m = 0 2 + -20m = 42 + 0 2 + -20m = 42 Add '-2' to each side of the equation. 2 + -2 + -20m = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -20m = 42 + -2 -20m = 42 + -2 Combine like terms: 42 + -2 = 40 -20m = 40 Divide each side by '-20'. m = -2 Simplifying m = -2
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