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Simplifying -7(6n + 1) = 287 Reorder the terms: -7(1 + 6n) = 287 (1 * -7 + 6n * -7) = 287 (-7 + -42n) = 287 Solving -7 + -42n = 287 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -42n = 287 + 7 Combine like terms: -7 + 7 = 0 0 + -42n = 287 + 7 -42n = 287 + 7 Combine like terms: 287 + 7 = 294 -42n = 294 Divide each side by '-42'. n = -7 Simplifying n = -7
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