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Simplifying M + 6 + M + 3 + M + 9 = M + 4M + 1 Reorder the terms: 6 + 3 + 9 + M + M + M = M + 4M + 1 Combine like terms: 6 + 3 = 9 9 + 9 + M + M + M = M + 4M + 1 Combine like terms: 9 + 9 = 18 18 + M + M + M = M + 4M + 1 Combine like terms: M + M = 2M 18 + 2M + M = M + 4M + 1 Combine like terms: 2M + M = 3M 18 + 3M = M + 4M + 1 Reorder the terms: 18 + 3M = 1 + M + 4M Combine like terms: M + 4M = 5M 18 + 3M = 1 + 5M Solving 18 + 3M = 1 + 5M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-5M' to each side of the equation. 18 + 3M + -5M = 1 + 5M + -5M Combine like terms: 3M + -5M = -2M 18 + -2M = 1 + 5M + -5M Combine like terms: 5M + -5M = 0 18 + -2M = 1 + 0 18 + -2M = 1 Add '-18' to each side of the equation. 18 + -18 + -2M = 1 + -18 Combine like terms: 18 + -18 = 0 0 + -2M = 1 + -18 -2M = 1 + -18 Combine like terms: 1 + -18 = -17 -2M = -17 Divide each side by '-2'. M = 8.5 Simplifying M = 8.5
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