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Simplifying -3m + 31 + -7m + 7 = 4m + -2m + 9 + -7m + 4 Reorder the terms: 31 + 7 + -3m + -7m = 4m + -2m + 9 + -7m + 4 Combine like terms: 31 + 7 = 38 38 + -3m + -7m = 4m + -2m + 9 + -7m + 4 Combine like terms: -3m + -7m = -10m 38 + -10m = 4m + -2m + 9 + -7m + 4 Reorder the terms: 38 + -10m = 9 + 4 + 4m + -2m + -7m Combine like terms: 9 + 4 = 13 38 + -10m = 13 + 4m + -2m + -7m Combine like terms: 4m + -2m = 2m 38 + -10m = 13 + 2m + -7m Combine like terms: 2m + -7m = -5m 38 + -10m = 13 + -5m Solving 38 + -10m = 13 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 38 + -10m + 5m = 13 + -5m + 5m Combine like terms: -10m + 5m = -5m 38 + -5m = 13 + -5m + 5m Combine like terms: -5m + 5m = 0 38 + -5m = 13 + 0 38 + -5m = 13 Add '-38' to each side of the equation. 38 + -38 + -5m = 13 + -38 Combine like terms: 38 + -38 = 0 0 + -5m = 13 + -38 -5m = 13 + -38 Combine like terms: 13 + -38 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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