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Simplifying 6n + 32 = 12n + 2 Reorder the terms: 32 + 6n = 12n + 2 Reorder the terms: 32 + 6n = 2 + 12n Solving 32 + 6n = 2 + 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. 32 + 6n + -12n = 2 + 12n + -12n Combine like terms: 6n + -12n = -6n 32 + -6n = 2 + 12n + -12n Combine like terms: 12n + -12n = 0 32 + -6n = 2 + 0 32 + -6n = 2 Add '-32' to each side of the equation. 32 + -32 + -6n = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -6n = 2 + -32 -6n = 2 + -32 Combine like terms: 2 + -32 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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