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Simplifying 9 + 2M + -8 = 6M + 47 + -2M Reorder the terms: 9 + -8 + 2M = 6M + 47 + -2M Combine like terms: 9 + -8 = 1 1 + 2M = 6M + 47 + -2M Reorder the terms: 1 + 2M = 47 + 6M + -2M Combine like terms: 6M + -2M = 4M 1 + 2M = 47 + 4M Solving 1 + 2M = 47 + 4M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-4M' to each side of the equation. 1 + 2M + -4M = 47 + 4M + -4M Combine like terms: 2M + -4M = -2M 1 + -2M = 47 + 4M + -4M Combine like terms: 4M + -4M = 0 1 + -2M = 47 + 0 1 + -2M = 47 Add '-1' to each side of the equation. 1 + -1 + -2M = 47 + -1 Combine like terms: 1 + -1 = 0 0 + -2M = 47 + -1 -2M = 47 + -1 Combine like terms: 47 + -1 = 46 -2M = 46 Divide each side by '-2'. M = -23 Simplifying M = -23
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