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Simplifying 3(3 + -7m) + 2(3M + 1) = 0 (3 * 3 + -7m * 3) + 2(3M + 1) = 0 (9 + -21m) + 2(3M + 1) = 0 Reorder the terms: 9 + -21m + 2(1 + 3M) = 0 9 + -21m + (1 * 2 + 3M * 2) = 0 9 + -21m + (2 + 6M) = 0 Reorder the terms: 9 + 2 + 6M + -21m = 0 Combine like terms: 9 + 2 = 11 11 + 6M + -21m = 0 Solving 11 + 6M + -21m = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 6M + -11 + -21m = 0 + -11 Reorder the terms: 11 + -11 + 6M + -21m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6M + -21m = 0 + -11 6M + -21m = 0 + -11 Combine like terms: 0 + -11 = -11 6M + -21m = -11 Add '21m' to each side of the equation. 6M + -21m + 21m = -11 + 21m Combine like terms: -21m + 21m = 0 6M + 0 = -11 + 21m 6M = -11 + 21m Divide each side by '6'. M = -1.833333333 + 3.5m Simplifying M = -1.833333333 + 3.5m
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