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Simplifying 2m + 4 + -3 = 2 + 3m + -7 + 14 Reorder the terms: 4 + -3 + 2m = 2 + 3m + -7 + 14 Combine like terms: 4 + -3 = 1 1 + 2m = 2 + 3m + -7 + 14 Reorder the terms: 1 + 2m = 2 + -7 + 14 + 3m Combine like terms: 2 + -7 = -5 1 + 2m = -5 + 14 + 3m Combine like terms: -5 + 14 = 9 1 + 2m = 9 + 3m Solving 1 + 2m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 1 + 2m + -3m = 9 + 3m + -3m Combine like terms: 2m + -3m = -1m 1 + -1m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + -1m = 9 + 0 1 + -1m = 9 Add '-1' to each side of the equation. 1 + -1 + -1m = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 9 + -1 -1m = 9 + -1 Combine like terms: 9 + -1 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8
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