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Simplifying 3(M + -5) + 4 = M + -7 Reorder the terms: 3(-5 + M) + 4 = M + -7 (-5 * 3 + M * 3) + 4 = M + -7 (-15 + 3M) + 4 = M + -7 Reorder the terms: -15 + 4 + 3M = M + -7 Combine like terms: -15 + 4 = -11 -11 + 3M = M + -7 Reorder the terms: -11 + 3M = -7 + M Solving -11 + 3M = -7 + M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-1M' to each side of the equation. -11 + 3M + -1M = -7 + M + -1M Combine like terms: 3M + -1M = 2M -11 + 2M = -7 + M + -1M Combine like terms: M + -1M = 0 -11 + 2M = -7 + 0 -11 + 2M = -7 Add '11' to each side of the equation. -11 + 11 + 2M = -7 + 11 Combine like terms: -11 + 11 = 0 0 + 2M = -7 + 11 2M = -7 + 11 Combine like terms: -7 + 11 = 4 2M = 4 Divide each side by '2'. M = 2 Simplifying M = 2
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