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Simplifying 9(n + -6) = 3(n + -2) Reorder the terms: 9(-6 + n) = 3(n + -2) (-6 * 9 + n * 9) = 3(n + -2) (-54 + 9n) = 3(n + -2) Reorder the terms: -54 + 9n = 3(-2 + n) -54 + 9n = (-2 * 3 + n * 3) -54 + 9n = (-6 + 3n) Solving -54 + 9n = -6 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -54 + 9n + -3n = -6 + 3n + -3n Combine like terms: 9n + -3n = 6n -54 + 6n = -6 + 3n + -3n Combine like terms: 3n + -3n = 0 -54 + 6n = -6 + 0 -54 + 6n = -6 Add '54' to each side of the equation. -54 + 54 + 6n = -6 + 54 Combine like terms: -54 + 54 = 0 0 + 6n = -6 + 54 6n = -6 + 54 Combine like terms: -6 + 54 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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