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Simplifying 3 + 3n + 2 = 12 + 5 + n + 6n Reorder the terms: 3 + 2 + 3n = 12 + 5 + n + 6n Combine like terms: 3 + 2 = 5 5 + 3n = 12 + 5 + n + 6n Combine like terms: 12 + 5 = 17 5 + 3n = 17 + n + 6n Combine like terms: n + 6n = 7n 5 + 3n = 17 + 7n Solving 5 + 3n = 17 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 5 + 3n + -7n = 17 + 7n + -7n Combine like terms: 3n + -7n = -4n 5 + -4n = 17 + 7n + -7n Combine like terms: 7n + -7n = 0 5 + -4n = 17 + 0 5 + -4n = 17 Add '-5' to each side of the equation. 5 + -5 + -4n = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -4n = 17 + -5 -4n = 17 + -5 Combine like terms: 17 + -5 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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