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Simplifying 2m + 42 = 7m + -3 Reorder the terms: 42 + 2m = 7m + -3 Reorder the terms: 42 + 2m = -3 + 7m Solving 42 + 2m = -3 + 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. 42 + 2m + -7m = -3 + 7m + -7m Combine like terms: 2m + -7m = -5m 42 + -5m = -3 + 7m + -7m Combine like terms: 7m + -7m = 0 42 + -5m = -3 + 0 42 + -5m = -3 Add '-42' to each side of the equation. 42 + -42 + -5m = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -5m = -3 + -42 -5m = -3 + -42 Combine like terms: -3 + -42 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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