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Simplifying 2m + 7 = 7m + -38 Reorder the terms: 7 + 2m = 7m + -38 Reorder the terms: 7 + 2m = -38 + 7m Solving 7 + 2m = -38 + 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. 7 + 2m + -7m = -38 + 7m + -7m Combine like terms: 2m + -7m = -5m 7 + -5m = -38 + 7m + -7m Combine like terms: 7m + -7m = 0 7 + -5m = -38 + 0 7 + -5m = -38 Add '-7' to each side of the equation. 7 + -7 + -5m = -38 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = -38 + -7 -5m = -38 + -7 Combine like terms: -38 + -7 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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