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Simplifying 6m + 5 + -1(2 + -3m) + -9M + 4 = 13 6m + 5 + (2 * -1 + -3m * -1) + -9M + 4 = 13 6m + 5 + (-2 + 3m) + -9M + 4 = 13 Reorder the terms: 5 + -2 + 4 + -9M + 6m + 3m = 13 Combine like terms: 5 + -2 = 3 3 + 4 + -9M + 6m + 3m = 13 Combine like terms: 3 + 4 = 7 7 + -9M + 6m + 3m = 13 Combine like terms: 6m + 3m = 9m 7 + -9M + 9m = 13 Solving 7 + -9M + 9m = 13 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -9M + -7 + 9m = 13 + -7 Reorder the terms: 7 + -7 + -9M + 9m = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -9M + 9m = 13 + -7 -9M + 9m = 13 + -7 Combine like terms: 13 + -7 = 6 -9M + 9m = 6 Add '-9m' to each side of the equation. -9M + 9m + -9m = 6 + -9m Combine like terms: 9m + -9m = 0 -9M + 0 = 6 + -9m -9M = 6 + -9m Divide each side by '-9'. M = -0.6666666667 + m Simplifying M = -0.6666666667 + m
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