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Simplifying 5(n + 6) + 4(n + -3) = 0 Reorder the terms: 5(6 + n) + 4(n + -3) = 0 (6 * 5 + n * 5) + 4(n + -3) = 0 (30 + 5n) + 4(n + -3) = 0 Reorder the terms: 30 + 5n + 4(-3 + n) = 0 30 + 5n + (-3 * 4 + n * 4) = 0 30 + 5n + (-12 + 4n) = 0 Reorder the terms: 30 + -12 + 5n + 4n = 0 Combine like terms: 30 + -12 = 18 18 + 5n + 4n = 0 Combine like terms: 5n + 4n = 9n 18 + 9n = 0 Solving 18 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 9n = 0 + -18 9n = 0 + -18 Combine like terms: 0 + -18 = -18 9n = -18 Divide each side by '9'. n = -2 Simplifying n = -2
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