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Simplifying 6n + -3(2n + 2) = 18 + 6n Reorder the terms: 6n + -3(2 + 2n) = 18 + 6n 6n + (2 * -3 + 2n * -3) = 18 + 6n 6n + (-6 + -6n) = 18 + 6n Reorder the terms: -6 + 6n + -6n = 18 + 6n Combine like terms: 6n + -6n = 0 -6 + 0 = 18 + 6n -6 = 18 + 6n Solving -6 = 18 + 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. -6 + -6n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + -6n = 18 + 0 -6 + -6n = 18 Add '6' to each side of the equation. -6 + 6 + -6n = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -6n = 18 + 6 -6n = 18 + 6 Combine like terms: 18 + 6 = 24 -6n = 24 Divide each side by '-6'. n = -4 Simplifying n = -4
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