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Simplifying 12n + 17 = 32 + -3n Reorder the terms: 17 + 12n = 32 + -3n Solving 17 + 12n = 32 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 17 + 12n + 3n = 32 + -3n + 3n Combine like terms: 12n + 3n = 15n 17 + 15n = 32 + -3n + 3n Combine like terms: -3n + 3n = 0 17 + 15n = 32 + 0 17 + 15n = 32 Add '-17' to each side of the equation. 17 + -17 + 15n = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 15n = 32 + -17 15n = 32 + -17 Combine like terms: 32 + -17 = 15 15n = 15 Divide each side by '15'. n = 1 Simplifying n = 1
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