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Simplifying 7m + 45 = 100 + 2m Reorder the terms: 45 + 7m = 100 + 2m Solving 45 + 7m = 100 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 45 + 7m + -2m = 100 + 2m + -2m Combine like terms: 7m + -2m = 5m 45 + 5m = 100 + 2m + -2m Combine like terms: 2m + -2m = 0 45 + 5m = 100 + 0 45 + 5m = 100 Add '-45' to each side of the equation. 45 + -45 + 5m = 100 + -45 Combine like terms: 45 + -45 = 0 0 + 5m = 100 + -45 5m = 100 + -45 Combine like terms: 100 + -45 = 55 5m = 55 Divide each side by '5'. m = 11 Simplifying m = 11
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