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Simplifying 3m + 52 = 9m + -2 Reorder the terms: 52 + 3m = 9m + -2 Reorder the terms: 52 + 3m = -2 + 9m Solving 52 + 3m = -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. 52 + 3m + -9m = -2 + 9m + -9m Combine like terms: 3m + -9m = -6m 52 + -6m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 52 + -6m = -2 + 0 52 + -6m = -2 Add '-52' to each side of the equation. 52 + -52 + -6m = -2 + -52 Combine like terms: 52 + -52 = 0 0 + -6m = -2 + -52 -6m = -2 + -52 Combine like terms: -2 + -52 = -54 -6m = -54 Divide each side by '-6'. m = 9 Simplifying m = 9
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