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Simplifying -7(1 + 7n) = -6n + 36 (1 * -7 + 7n * -7) = -6n + 36 (-7 + -49n) = -6n + 36 Reorder the terms: -7 + -49n = 36 + -6n Solving -7 + -49n = 36 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -7 + -49n + 6n = 36 + -6n + 6n Combine like terms: -49n + 6n = -43n -7 + -43n = 36 + -6n + 6n Combine like terms: -6n + 6n = 0 -7 + -43n = 36 + 0 -7 + -43n = 36 Add '7' to each side of the equation. -7 + 7 + -43n = 36 + 7 Combine like terms: -7 + 7 = 0 0 + -43n = 36 + 7 -43n = 36 + 7 Combine like terms: 36 + 7 = 43 -43n = 43 Divide each side by '-43'. n = -1 Simplifying n = -1
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