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