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Simplifying 31(m + 7) = 496 Reorder the terms: 31(7 + m) = 496 (7 * 31 + m * 31) = 496 (217 + 31m) = 496 Solving 217 + 31m = 496 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-217' to each side of the equation. 217 + -217 + 31m = 496 + -217 Combine like terms: 217 + -217 = 0 0 + 31m = 496 + -217 31m = 496 + -217 Combine like terms: 496 + -217 = 279 31m = 279 Divide each side by '31'. m = 9 Simplifying m = 9
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