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Simplifying 42 = 6n + 12 Reorder the terms: 42 = 12 + 6n Solving 42 = 12 + 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. 42 + -6n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 42 + -6n = 12 + 0 42 + -6n = 12 Add '-42' to each side of the equation. 42 + -42 + -6n = 12 + -42 Combine like terms: 42 + -42 = 0 0 + -6n = 12 + -42 -6n = 12 + -42 Combine like terms: 12 + -42 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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