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Simplifying 992 = 31(m + 6) Reorder the terms: 992 = 31(6 + m) 992 = (6 * 31 + m * 31) 992 = (186 + 31m) Solving 992 = 186 + 31m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31m' to each side of the equation. 992 + -31m = 186 + 31m + -31m Combine like terms: 31m + -31m = 0 992 + -31m = 186 + 0 992 + -31m = 186 Add '-992' to each side of the equation. 992 + -992 + -31m = 186 + -992 Combine like terms: 992 + -992 = 0 0 + -31m = 186 + -992 -31m = 186 + -992 Combine like terms: 186 + -992 = -806 -31m = -806 Divide each side by '-31'. m = 26 Simplifying m = 26
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