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Simplifying 6(n + 3) + -12 = 12n Reorder the terms: 6(3 + n) + -12 = 12n (3 * 6 + n * 6) + -12 = 12n (18 + 6n) + -12 = 12n Reorder the terms: 18 + -12 + 6n = 12n Combine like terms: 18 + -12 = 6 6 + 6n = 12n Solving 6 + 6n = 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 6 + 6n + -12n = 12n + -12n Combine like terms: 6n + -12n = -6n 6 + -6n = 12n + -12n Combine like terms: 12n + -12n = 0 6 + -6n = 0 Add '-6' to each side of the equation. 6 + -6 + -6n = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6n = 0 + -6 -6n = 0 + -6 Combine like terms: 0 + -6 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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