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Simplifying -7(1 + 7n) = 287 (1 * -7 + 7n * -7) = 287 (-7 + -49n) = 287 Solving -7 + -49n = 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 + -49n = 287 + 7 Combine like terms: -7 + 7 = 0 0 + -49n = 287 + 7 -49n = 287 + 7 Combine like terms: 287 + 7 = 294 -49n = 294 Divide each side by '-49'. n = -6 Simplifying n = -6
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