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Simplifying 7M + -19 + 8M + 4 = -6M + 9 + 9M Reorder the terms: -19 + 4 + 7M + 8M = -6M + 9 + 9M Combine like terms: -19 + 4 = -15 -15 + 7M + 8M = -6M + 9 + 9M Combine like terms: 7M + 8M = 15M -15 + 15M = -6M + 9 + 9M Reorder the terms: -15 + 15M = 9 + -6M + 9M Combine like terms: -6M + 9M = 3M -15 + 15M = 9 + 3M Solving -15 + 15M = 9 + 3M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-3M' to each side of the equation. -15 + 15M + -3M = 9 + 3M + -3M Combine like terms: 15M + -3M = 12M -15 + 12M = 9 + 3M + -3M Combine like terms: 3M + -3M = 0 -15 + 12M = 9 + 0 -15 + 12M = 9 Add '15' to each side of the equation. -15 + 15 + 12M = 9 + 15 Combine like terms: -15 + 15 = 0 0 + 12M = 9 + 15 12M = 9 + 15 Combine like terms: 9 + 15 = 24 12M = 24 Divide each side by '12'. M = 2 Simplifying M = 2
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