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Simplifying 7n + 17 = 12n + -13 Reorder the terms: 17 + 7n = 12n + -13 Reorder the terms: 17 + 7n = -13 + 12n Solving 17 + 7n = -13 + 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. 17 + 7n + -12n = -13 + 12n + -12n Combine like terms: 7n + -12n = -5n 17 + -5n = -13 + 12n + -12n Combine like terms: 12n + -12n = 0 17 + -5n = -13 + 0 17 + -5n = -13 Add '-17' to each side of the equation. 17 + -17 + -5n = -13 + -17 Combine like terms: 17 + -17 = 0 0 + -5n = -13 + -17 -5n = -13 + -17 Combine like terms: -13 + -17 = -30 -5n = -30 Divide each side by '-5'. n = 6 Simplifying n = 6
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