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Simplifying 200 + 10m = 100 + 30m Solving 200 + 10m = 100 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 200 + 10m + -30m = 100 + 30m + -30m Combine like terms: 10m + -30m = -20m 200 + -20m = 100 + 30m + -30m Combine like terms: 30m + -30m = 0 200 + -20m = 100 + 0 200 + -20m = 100 Add '-200' to each side of the equation. 200 + -200 + -20m = 100 + -200 Combine like terms: 200 + -200 = 0 0 + -20m = 100 + -200 -20m = 100 + -200 Combine like terms: 100 + -200 = -100 -20m = -100 Divide each side by '-20'. m = 5 Simplifying m = 5
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