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Simplifying -330 = 6(1 + -7n) -330 = (1 * 6 + -7n * 6) -330 = (6 + -42n) Solving -330 = 6 + -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. -330 + 42n = 6 + -42n + 42n Combine like terms: -42n + 42n = 0 -330 + 42n = 6 + 0 -330 + 42n = 6 Add '330' to each side of the equation. -330 + 330 + 42n = 6 + 330 Combine like terms: -330 + 330 = 0 0 + 42n = 6 + 330 42n = 6 + 330 Combine like terms: 6 + 330 = 336 42n = 336 Divide each side by '42'. n = 8 Simplifying n = 8
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