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Simplifying 12(M + -3) + -1 = -1(-5M + 9) Reorder the terms: 12(-3 + M) + -1 = -1(-5M + 9) (-3 * 12 + M * 12) + -1 = -1(-5M + 9) (-36 + 12M) + -1 = -1(-5M + 9) Reorder the terms: -36 + -1 + 12M = -1(-5M + 9) Combine like terms: -36 + -1 = -37 -37 + 12M = -1(-5M + 9) Reorder the terms: -37 + 12M = -1(9 + -5M) -37 + 12M = (9 * -1 + -5M * -1) -37 + 12M = (-9 + 5M) Solving -37 + 12M = -9 + 5M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-5M' to each side of the equation. -37 + 12M + -5M = -9 + 5M + -5M Combine like terms: 12M + -5M = 7M -37 + 7M = -9 + 5M + -5M Combine like terms: 5M + -5M = 0 -37 + 7M = -9 + 0 -37 + 7M = -9 Add '37' to each side of the equation. -37 + 37 + 7M = -9 + 37 Combine like terms: -37 + 37 = 0 0 + 7M = -9 + 37 7M = -9 + 37 Combine like terms: -9 + 37 = 28 7M = 28 Divide each side by '7'. M = 4 Simplifying M = 4
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