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Simplifying 10m + 4 + -3m = 46 + 21m Reorder the terms: 4 + 10m + -3m = 46 + 21m Combine like terms: 10m + -3m = 7m 4 + 7m = 46 + 21m Solving 4 + 7m = 46 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. 4 + 7m + -21m = 46 + 21m + -21m Combine like terms: 7m + -21m = -14m 4 + -14m = 46 + 21m + -21m Combine like terms: 21m + -21m = 0 4 + -14m = 46 + 0 4 + -14m = 46 Add '-4' to each side of the equation. 4 + -4 + -14m = 46 + -4 Combine like terms: 4 + -4 = 0 0 + -14m = 46 + -4 -14m = 46 + -4 Combine like terms: 46 + -4 = 42 -14m = 42 Divide each side by '-14'. m = -3 Simplifying m = -3
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