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Simplifying 6(2 + -3m + 1) = 5(2m + -2) Reorder the terms: 6(2 + 1 + -3m) = 5(2m + -2) Combine like terms: 2 + 1 = 3 6(3 + -3m) = 5(2m + -2) (3 * 6 + -3m * 6) = 5(2m + -2) (18 + -18m) = 5(2m + -2) Reorder the terms: 18 + -18m = 5(-2 + 2m) 18 + -18m = (-2 * 5 + 2m * 5) 18 + -18m = (-10 + 10m) Solving 18 + -18m = -10 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 18 + -18m + -10m = -10 + 10m + -10m Combine like terms: -18m + -10m = -28m 18 + -28m = -10 + 10m + -10m Combine like terms: 10m + -10m = 0 18 + -28m = -10 + 0 18 + -28m = -10 Add '-18' to each side of the equation. 18 + -18 + -28m = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -28m = -10 + -18 -28m = -10 + -18 Combine like terms: -10 + -18 = -28 -28m = -28 Divide each side by '-28'. m = 1 Simplifying m = 1
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