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Simplifying -1 + -7(7n + 6) = 6 Reorder the terms: -1 + -7(6 + 7n) = 6 -1 + (6 * -7 + 7n * -7) = 6 -1 + (-42 + -49n) = 6 Combine like terms: -1 + -42 = -43 -43 + -49n = 6 Solving -43 + -49n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -49n = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -49n = 6 + 43 -49n = 6 + 43 Combine like terms: 6 + 43 = 49 -49n = 49 Divide each side by '-49'. n = -1 Simplifying n = -1
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