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Simplifying 14 + -5n = 8 + 6(1 + 7n) 14 + -5n = 8 + (1 * 6 + 7n * 6) 14 + -5n = 8 + (6 + 42n) Combine like terms: 8 + 6 = 14 14 + -5n = 14 + 42n Add '-14' to each side of the equation. 14 + -14 + -5n = 14 + -14 + 42n Combine like terms: 14 + -14 = 0 0 + -5n = 14 + -14 + 42n -5n = 14 + -14 + 42n Combine like terms: 14 + -14 = 0 -5n = 0 + 42n -5n = 42n Solving -5n = 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -5n + -42n = 42n + -42n Combine like terms: -5n + -42n = -47n -47n = 42n + -42n Combine like terms: 42n + -42n = 0 -47n = 0 Divide each side by '-47'. n = 0 Simplifying n = 0
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