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Simplifying 2M + 3(M + -2) = 3M + -4 Reorder the terms: 2M + 3(-2 + M) = 3M + -4 2M + (-2 * 3 + M * 3) = 3M + -4 2M + (-6 + 3M) = 3M + -4 Reorder the terms: -6 + 2M + 3M = 3M + -4 Combine like terms: 2M + 3M = 5M -6 + 5M = 3M + -4 Reorder the terms: -6 + 5M = -4 + 3M Solving -6 + 5M = -4 + 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 + 5M + -3M = -4 + 3M + -3M Combine like terms: 5M + -3M = 2M -6 + 2M = -4 + 3M + -3M Combine like terms: 3M + -3M = 0 -6 + 2M = -4 + 0 -6 + 2M = -4 Add '6' to each side of the equation. -6 + 6 + 2M = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 2M = -4 + 6 2M = -4 + 6 Combine like terms: -4 + 6 = 2 2M = 2 Divide each side by '2'. M = 1 Simplifying M = 1
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