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Simplifying 3(3n + -6) = 6(n + 1) Reorder the terms: 3(-6 + 3n) = 6(n + 1) (-6 * 3 + 3n * 3) = 6(n + 1) (-18 + 9n) = 6(n + 1) Reorder the terms: -18 + 9n = 6(1 + n) -18 + 9n = (1 * 6 + n * 6) -18 + 9n = (6 + 6n) Solving -18 + 9n = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -18 + 9n + -6n = 6 + 6n + -6n Combine like terms: 9n + -6n = 3n -18 + 3n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 -18 + 3n = 6 + 0 -18 + 3n = 6 Add '18' to each side of the equation. -18 + 18 + 3n = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = 6 + 18 3n = 6 + 18 Combine like terms: 6 + 18 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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