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Simplifying -6 + -12(M + -2) = 4m + -6(M + -3) Reorder the terms: -6 + -12(-2 + M) = 4m + -6(M + -3) -6 + (-2 * -12 + M * -12) = 4m + -6(M + -3) -6 + (24 + -12M) = 4m + -6(M + -3) Combine like terms: -6 + 24 = 18 18 + -12M = 4m + -6(M + -3) Reorder the terms: 18 + -12M = 4m + -6(-3 + M) 18 + -12M = 4m + (-3 * -6 + M * -6) 18 + -12M = 4m + (18 + -6M) Reorder the terms: 18 + -12M = 18 + -6M + 4m Add '-18' to each side of the equation. 18 + -18 + -12M = 18 + -6M + -18 + 4m Combine like terms: 18 + -18 = 0 0 + -12M = 18 + -6M + -18 + 4m -12M = 18 + -6M + -18 + 4m Reorder the terms: -12M = 18 + -18 + -6M + 4m Combine like terms: 18 + -18 = 0 -12M = 0 + -6M + 4m -12M = -6M + 4m Solving -12M = -6M + 4m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '6M' to each side of the equation. -12M + 6M = -6M + 6M + 4m Combine like terms: -12M + 6M = -6M -6M = -6M + 6M + 4m Combine like terms: -6M + 6M = 0 -6M = 0 + 4m -6M = 4m Divide each side by '-6'. M = -0.6666666667m Simplifying M = -0.6666666667m
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