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Simplifying 3(7 + -1m) = 4(2 + -1m) (7 * 3 + -1m * 3) = 4(2 + -1m) (21 + -3m) = 4(2 + -1m) 21 + -3m = (2 * 4 + -1m * 4) 21 + -3m = (8 + -4m) Solving 21 + -3m = 8 + -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. 21 + -3m + 4m = 8 + -4m + 4m Combine like terms: -3m + 4m = 1m 21 + 1m = 8 + -4m + 4m Combine like terms: -4m + 4m = 0 21 + 1m = 8 + 0 21 + 1m = 8 Add '-21' to each side of the equation. 21 + -21 + 1m = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1m = 8 + -21 1m = 8 + -21 Combine like terms: 8 + -21 = -13 1m = -13 Divide each side by '1'. m = -13 Simplifying m = -13
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