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Simplifying 7 + 27m = 42 + 20m Solving 7 + 27m = 42 + 20m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20m' to each side of the equation. 7 + 27m + -20m = 42 + 20m + -20m Combine like terms: 27m + -20m = 7m 7 + 7m = 42 + 20m + -20m Combine like terms: 20m + -20m = 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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