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Simplifying 12 = 6(n + 5) Reorder the terms: 12 = 6(5 + n) 12 = (5 * 6 + n * 6) 12 = (30 + 6n) Solving 12 = 30 + 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. 12 + -6n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -6n = 30 + 0 12 + -6n = 30 Add '-12' to each side of the equation. 12 + -12 + -6n = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = 30 + -12 -6n = 30 + -12 Combine like terms: 30 + -12 = 18 -6n = 18 Divide each side by '-6'. n = -3 Simplifying n = -3
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