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Simplifying 6m + 7 = 2m + 47 Reorder the terms: 7 + 6m = 2m + 47 Reorder the terms: 7 + 6m = 47 + 2m Solving 7 + 6m = 47 + 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. 7 + 6m + -2m = 47 + 2m + -2m Combine like terms: 6m + -2m = 4m 7 + 4m = 47 + 2m + -2m Combine like terms: 2m + -2m = 0 7 + 4m = 47 + 0 7 + 4m = 47 Add '-7' to each side of the equation. 7 + -7 + 4m = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4m = 47 + -7 4m = 47 + -7 Combine like terms: 47 + -7 = 40 4m = 40 Divide each side by '4'. m = 10 Simplifying m = 10
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