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Simplifying 3m + 38 = 9m + -4 Reorder the terms: 38 + 3m = 9m + -4 Reorder the terms: 38 + 3m = -4 + 9m Solving 38 + 3m = -4 + 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. 38 + 3m + -9m = -4 + 9m + -9m Combine like terms: 3m + -9m = -6m 38 + -6m = -4 + 9m + -9m Combine like terms: 9m + -9m = 0 38 + -6m = -4 + 0 38 + -6m = -4 Add '-38' to each side of the equation. 38 + -38 + -6m = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -6m = -4 + -38 -6m = -4 + -38 Combine like terms: -4 + -38 = -42 -6m = -42 Divide each side by '-6'. m = 7 Simplifying m = 7
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