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Simplifying 7(n + 9) + -6(7n + -3) = 0 Reorder the terms: 7(9 + n) + -6(7n + -3) = 0 (9 * 7 + n * 7) + -6(7n + -3) = 0 (63 + 7n) + -6(7n + -3) = 0 Reorder the terms: 63 + 7n + -6(-3 + 7n) = 0 63 + 7n + (-3 * -6 + 7n * -6) = 0 63 + 7n + (18 + -42n) = 0 Reorder the terms: 63 + 18 + 7n + -42n = 0 Combine like terms: 63 + 18 = 81 81 + 7n + -42n = 0 Combine like terms: 7n + -42n = -35n 81 + -35n = 0 Solving 81 + -35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + -35n = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -35n = 0 + -81 -35n = 0 + -81 Combine like terms: 0 + -81 = -81 -35n = -81 Divide each side by '-35'. n = 2.314285714 Simplifying n = 2.314285714
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