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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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