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Simplifying M + 8 = 2((32 + -1M) + 8) Reorder the terms: 8 + M = 2((32 + -1M) + 8) Remove parenthesis around (32 + -1M) 8 + M = 2(32 + -1M + 8) Reorder the terms: 8 + M = 2(32 + 8 + -1M) Combine like terms: 32 + 8 = 40 8 + M = 2(40 + -1M) 8 + M = (40 * 2 + -1M * 2) 8 + M = (80 + -2M) Solving 8 + M = 80 + -2M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '2M' to each side of the equation. 8 + M + 2M = 80 + -2M + 2M Combine like terms: M + 2M = 3M 8 + 3M = 80 + -2M + 2M Combine like terms: -2M + 2M = 0 8 + 3M = 80 + 0 8 + 3M = 80 Add '-8' to each side of the equation. 8 + -8 + 3M = 80 + -8 Combine like terms: 8 + -8 = 0 0 + 3M = 80 + -8 3M = 80 + -8 Combine like terms: 80 + -8 = 72 3M = 72 Divide each side by '3'. M = 24 Simplifying M = 24
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