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Simplifying 2M + 19 = 3M + 12 Reorder the terms: 19 + 2M = 3M + 12 Reorder the terms: 19 + 2M = 12 + 3M Solving 19 + 2M = 12 + 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. 19 + 2M + -3M = 12 + 3M + -3M Combine like terms: 2M + -3M = -1M 19 + -1M = 12 + 3M + -3M Combine like terms: 3M + -3M = 0 19 + -1M = 12 + 0 19 + -1M = 12 Add '-19' to each side of the equation. 19 + -19 + -1M = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -1M = 12 + -19 -1M = 12 + -19 Combine like terms: 12 + -19 = -7 -1M = -7 Divide each side by '-1'. M = 7 Simplifying M = 7
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