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Simplifying 5M + -3(2M + 7) = 3M + 12 + -5M Reorder the terms: 5M + -3(7 + 2M) = 3M + 12 + -5M 5M + (7 * -3 + 2M * -3) = 3M + 12 + -5M 5M + (-21 + -6M) = 3M + 12 + -5M Reorder the terms: -21 + 5M + -6M = 3M + 12 + -5M Combine like terms: 5M + -6M = -1M -21 + -1M = 3M + 12 + -5M Reorder the terms: -21 + -1M = 12 + 3M + -5M Combine like terms: 3M + -5M = -2M -21 + -1M = 12 + -2M Solving -21 + -1M = 12 + -2M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '2M' to each side of the equation. -21 + -1M + 2M = 12 + -2M + 2M Combine like terms: -1M + 2M = 1M -21 + 1M = 12 + -2M + 2M Combine like terms: -2M + 2M = 0 -21 + 1M = 12 + 0 -21 + 1M = 12 Add '21' to each side of the equation. -21 + 21 + 1M = 12 + 21 Combine like terms: -21 + 21 = 0 0 + 1M = 12 + 21 1M = 12 + 21 Combine like terms: 12 + 21 = 33 1M = 33 Divide each side by '1'. M = 33 Simplifying M = 33
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