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Simplifying -6(n + -3) = 5(9 + -1n) Reorder the terms: -6(-3 + n) = 5(9 + -1n) (-3 * -6 + n * -6) = 5(9 + -1n) (18 + -6n) = 5(9 + -1n) 18 + -6n = (9 * 5 + -1n * 5) 18 + -6n = (45 + -5n) Solving 18 + -6n = 45 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 18 + -6n + 5n = 45 + -5n + 5n Combine like terms: -6n + 5n = -1n 18 + -1n = 45 + -5n + 5n Combine like terms: -5n + 5n = 0 18 + -1n = 45 + 0 18 + -1n = 45 Add '-18' to each side of the equation. 18 + -18 + -1n = 45 + -18 Combine like terms: 18 + -18 = 0 0 + -1n = 45 + -18 -1n = 45 + -18 Combine like terms: 45 + -18 = 27 -1n = 27 Divide each side by '-1'. n = -27 Simplifying n = -27
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