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Simplifying 5m + 30 = 9m + -2 Reorder the terms: 30 + 5m = 9m + -2 Reorder the terms: 30 + 5m = -2 + 9m Solving 30 + 5m = -2 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 30 + 5m + -9m = -2 + 9m + -9m Combine like terms: 5m + -9m = -4m 30 + -4m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 30 + -4m = -2 + 0 30 + -4m = -2 Add '-30' to each side of the equation. 30 + -30 + -4m = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -4m = -2 + -30 -4m = -2 + -30 Combine like terms: -2 + -30 = -32 -4m = -32 Divide each side by '-4'. m = 8 Simplifying m = 8
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