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Simplifying 6n + 4 + -2n + 13 = 7n + -4 Reorder the terms: 4 + 13 + 6n + -2n = 7n + -4 Combine like terms: 4 + 13 = 17 17 + 6n + -2n = 7n + -4 Combine like terms: 6n + -2n = 4n 17 + 4n = 7n + -4 Reorder the terms: 17 + 4n = -4 + 7n Solving 17 + 4n = -4 + 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. 17 + 4n + -7n = -4 + 7n + -7n Combine like terms: 4n + -7n = -3n 17 + -3n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -3n = -4 + 0 17 + -3n = -4 Add '-17' to each side of the equation. 17 + -17 + -3n = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = -4 + -17 -3n = -4 + -17 Combine like terms: -4 + -17 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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