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Simplifying 7 + 5m = 51 + m Solving 7 + 5m = 51 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 7 + 5m + -1m = 51 + m + -1m Combine like terms: 5m + -1m = 4m 7 + 4m = 51 + m + -1m Combine like terms: m + -1m = 0 7 + 4m = 51 + 0 7 + 4m = 51 Add '-7' to each side of the equation. 7 + -7 + 4m = 51 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 51 + -7 4m = 51 + -7 Combine like terms: 51 + -7 = 44 4m = 44 Divide each side by '4'. m = 11 Simplifying m = 11
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