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Simplifying 2m + 107 = 6m + m + 71 Reorder the terms: 107 + 2m = 6m + m + 71 Reorder the terms: 107 + 2m = 71 + 6m + m Combine like terms: 6m + m = 7m 107 + 2m = 71 + 7m Solving 107 + 2m = 71 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 107 + 2m + -7m = 71 + 7m + -7m Combine like terms: 2m + -7m = -5m 107 + -5m = 71 + 7m + -7m Combine like terms: 7m + -7m = 0 107 + -5m = 71 + 0 107 + -5m = 71 Add '-107' to each side of the equation. 107 + -107 + -5m = 71 + -107 Combine like terms: 107 + -107 = 0 0 + -5m = 71 + -107 -5m = 71 + -107 Combine like terms: 71 + -107 = -36 -5m = -36 Divide each side by '-5'. m = 7.2 Simplifying m = 7.2
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