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Simplifying 3 + 17m + -2 = 7m + 43 + -4m Reorder the terms: 3 + -2 + 17m = 7m + 43 + -4m Combine like terms: 3 + -2 = 1 1 + 17m = 7m + 43 + -4m Reorder the terms: 1 + 17m = 43 + 7m + -4m Combine like terms: 7m + -4m = 3m 1 + 17m = 43 + 3m Solving 1 + 17m = 43 + 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 + 17m + -3m = 43 + 3m + -3m Combine like terms: 17m + -3m = 14m 1 + 14m = 43 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 14m = 43 + 0 1 + 14m = 43 Add '-1' to each side of the equation. 1 + -1 + 14m = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 14m = 43 + -1 14m = 43 + -1 Combine like terms: 43 + -1 = 42 14m = 42 Divide each side by '14'. m = 3 Simplifying m = 3
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