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Simplifying 3 + 10m + -2 = 6m + 29 + -3m Reorder the terms: 3 + -2 + 10m = 6m + 29 + -3m Combine like terms: 3 + -2 = 1 1 + 10m = 6m + 29 + -3m Reorder the terms: 1 + 10m = 29 + 6m + -3m Combine like terms: 6m + -3m = 3m 1 + 10m = 29 + 3m Solving 1 + 10m = 29 + 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 + 10m + -3m = 29 + 3m + -3m Combine like terms: 10m + -3m = 7m 1 + 7m = 29 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 7m = 29 + 0 1 + 7m = 29 Add '-1' to each side of the equation. 1 + -1 + 7m = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 7m = 29 + -1 7m = 29 + -1 Combine like terms: 29 + -1 = 28 7m = 28 Divide each side by '7'. m = 4 Simplifying m = 4
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