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Simplifying M + 6 = 3M + -6 Reorder the terms: 6 + M = 3M + -6 Reorder the terms: 6 + M = -6 + 3M Solving 6 + M = -6 + 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. 6 + M + -3M = -6 + 3M + -3M Combine like terms: M + -3M = -2M 6 + -2M = -6 + 3M + -3M Combine like terms: 3M + -3M = 0 6 + -2M = -6 + 0 6 + -2M = -6 Add '-6' to each side of the equation. 6 + -6 + -2M = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -2M = -6 + -6 -2M = -6 + -6 Combine like terms: -6 + -6 = -12 -2M = -12 Divide each side by '-2'. M = 6 Simplifying M = 6
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