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Simplifying 287 = -7(1 + 5n) + -7n 287 = (1 * -7 + 5n * -7) + -7n 287 = (-7 + -35n) + -7n Combine like terms: -35n + -7n = -42n 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 = -294 42n = -294 Divide each side by '42'. n = -7 Simplifying n = -7
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