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Simplifying 2M + 5 = 3(M + -4) Reorder the terms: 5 + 2M = 3(M + -4) Reorder the terms: 5 + 2M = 3(-4 + M) 5 + 2M = (-4 * 3 + M * 3) 5 + 2M = (-12 + 3M) Solving 5 + 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. 5 + 2M + -3M = -12 + 3M + -3M Combine like terms: 2M + -3M = -1M 5 + -1M = -12 + 3M + -3M Combine like terms: 3M + -3M = 0 5 + -1M = -12 + 0 5 + -1M = -12 Add '-5' to each side of the equation. 5 + -5 + -1M = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -1M = -12 + -5 -1M = -12 + -5 Combine like terms: -12 + -5 = -17 -1M = -17 Divide each side by '-1'. M = 17 Simplifying M = 17
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