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Simplifying -6(M + 4) + 2(2m + 3) = -3(m + -1) + -8 Reorder the terms: -6(4 + M) + 2(2m + 3) = -3(m + -1) + -8 (4 * -6 + M * -6) + 2(2m + 3) = -3(m + -1) + -8 (-24 + -6M) + 2(2m + 3) = -3(m + -1) + -8 Reorder the terms: -24 + -6M + 2(3 + 2m) = -3(m + -1) + -8 -24 + -6M + (3 * 2 + 2m * 2) = -3(m + -1) + -8 -24 + -6M + (6 + 4m) = -3(m + -1) + -8 Reorder the terms: -24 + 6 + -6M + 4m = -3(m + -1) + -8 Combine like terms: -24 + 6 = -18 -18 + -6M + 4m = -3(m + -1) + -8 Reorder the terms: -18 + -6M + 4m = -3(-1 + m) + -8 -18 + -6M + 4m = (-1 * -3 + m * -3) + -8 -18 + -6M + 4m = (3 + -3m) + -8 Reorder the terms: -18 + -6M + 4m = 3 + -8 + -3m Combine like terms: 3 + -8 = -5 -18 + -6M + 4m = -5 + -3m Solving -18 + -6M + 4m = -5 + -3m Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -6M + 18 + 4m = -5 + 18 + -3m Reorder the terms: -18 + 18 + -6M + 4m = -5 + 18 + -3m Combine like terms: -18 + 18 = 0 0 + -6M + 4m = -5 + 18 + -3m -6M + 4m = -5 + 18 + -3m Combine like terms: -5 + 18 = 13 -6M + 4m = 13 + -3m Add '-4m' to each side of the equation. -6M + 4m + -4m = 13 + -3m + -4m Combine like terms: 4m + -4m = 0 -6M + 0 = 13 + -3m + -4m -6M = 13 + -3m + -4m Combine like terms: -3m + -4m = -7m -6M = 13 + -7m Divide each side by '-6'. M = -2.166666667 + 1.166666667m Simplifying M = -2.166666667 + 1.166666667m
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