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Simplifying 7 + 21m = 42 + 14m Solving 7 + 21m = 42 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 7 + 21m + -14m = 42 + 14m + -14m Combine like terms: 21m + -14m = 7m 7 + 7m = 42 + 14m + -14m Combine like terms: 14m + -14m = 0 7 + 7m = 42 + 0 7 + 7m = 42 Add '-7' to each side of the equation. 7 + -7 + 7m = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 7m = 42 + -7 7m = 42 + -7 Combine like terms: 42 + -7 = 35 7m = 35 Divide each side by '7'. m = 5 Simplifying m = 5
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