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Simplifying 7n + 2 + -5 = -6 + 3n + -2n + 14 Reorder the terms: 2 + -5 + 7n = -6 + 3n + -2n + 14 Combine like terms: 2 + -5 = -3 -3 + 7n = -6 + 3n + -2n + 14 Reorder the terms: -3 + 7n = -6 + 14 + 3n + -2n Combine like terms: -6 + 14 = 8 -3 + 7n = 8 + 3n + -2n Combine like terms: 3n + -2n = 1n -3 + 7n = 8 + 1n Solving -3 + 7n = 8 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -3 + 7n + -1n = 8 + 1n + -1n Combine like terms: 7n + -1n = 6n -3 + 6n = 8 + 1n + -1n Combine like terms: 1n + -1n = 0 -3 + 6n = 8 + 0 -3 + 6n = 8 Add '3' to each side of the equation. -3 + 3 + 6n = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 6n = 8 + 3 6n = 8 + 3 Combine like terms: 8 + 3 = 11 6n = 11 Divide each side by '6'. n = 1.833333333 Simplifying n = 1.833333333
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