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Simplifying 287 = 7(1 + -6n) 287 = (1 * 7 + -6n * 7) 287 = (7 + -42n) Solving 287 = 7 + -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. 287 + 42n = 7 + -42n + 42n Combine like terms: -42n + 42n = 0 287 + 42n = 7 + 0 287 + 42n = 7 Add '-287' to each side of the equation. 287 + -287 + 42n = 7 + -287 Combine like terms: 287 + -287 = 0 0 + 42n = 7 + -287 42n = 7 + -287 Combine like terms: 7 + -287 = -280 42n = -280 Divide each side by '42'. n = -6.666666667 Simplifying n = -6.666666667
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