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Simplifying 7M + -9 = 2M + 31 Reorder the terms: -9 + 7M = 2M + 31 Reorder the terms: -9 + 7M = 31 + 2M Solving -9 + 7M = 31 + 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. -9 + 7M + -2M = 31 + 2M + -2M Combine like terms: 7M + -2M = 5M -9 + 5M = 31 + 2M + -2M Combine like terms: 2M + -2M = 0 -9 + 5M = 31 + 0 -9 + 5M = 31 Add '9' to each side of the equation. -9 + 9 + 5M = 31 + 9 Combine like terms: -9 + 9 = 0 0 + 5M = 31 + 9 5M = 31 + 9 Combine like terms: 31 + 9 = 40 5M = 40 Divide each side by '5'. M = 8 Simplifying M = 8
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