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