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Simplifying 2(9m + -1) + 7(n + 6) = 0 Reorder the terms: 2(-1 + 9m) + 7(n + 6) = 0 (-1 * 2 + 9m * 2) + 7(n + 6) = 0 (-2 + 18m) + 7(n + 6) = 0 Reorder the terms: -2 + 18m + 7(6 + n) = 0 -2 + 18m + (6 * 7 + n * 7) = 0 -2 + 18m + (42 + 7n) = 0 Reorder the terms: -2 + 42 + 18m + 7n = 0 Combine like terms: -2 + 42 = 40 40 + 18m + 7n = 0 Solving 40 + 18m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 18m + -40 + 7n = 0 + -40 Reorder the terms: 40 + -40 + 18m + 7n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 18m + 7n = 0 + -40 18m + 7n = 0 + -40 Combine like terms: 0 + -40 = -40 18m + 7n = -40 Add '-7n' to each side of the equation. 18m + 7n + -7n = -40 + -7n Combine like terms: 7n + -7n = 0 18m + 0 = -40 + -7n 18m = -40 + -7n Divide each side by '18'. m = -2.222222222 + -0.3888888889n Simplifying m = -2.222222222 + -0.3888888889n
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