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