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Simplifying 6n + 7 + -2 + -14 = 5n + 1 Reorder the terms: 7 + -2 + -14 + 6n = 5n + 1 Combine like terms: 7 + -2 = 5 5 + -14 + 6n = 5n + 1 Combine like terms: 5 + -14 = -9 -9 + 6n = 5n + 1 Reorder the terms: -9 + 6n = 1 + 5n Solving -9 + 6n = 1 + 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. -9 + 6n + -5n = 1 + 5n + -5n Combine like terms: 6n + -5n = 1n -9 + 1n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 -9 + 1n = 1 + 0 -9 + 1n = 1 Add '9' to each side of the equation. -9 + 9 + 1n = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 1n = 1 + 9 1n = 1 + 9 Combine like terms: 1 + 9 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
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