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Simplifying -6(7n + 6) = 7 + n Reorder the terms: -6(6 + 7n) = 7 + n (6 * -6 + 7n * -6) = 7 + n (-36 + -42n) = 7 + n Solving -36 + -42n = 7 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -36 + -42n + -1n = 7 + n + -1n Combine like terms: -42n + -1n = -43n -36 + -43n = 7 + n + -1n Combine like terms: n + -1n = 0 -36 + -43n = 7 + 0 -36 + -43n = 7 Add '36' to each side of the equation. -36 + 36 + -43n = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -43n = 7 + 36 -43n = 7 + 36 Combine like terms: 7 + 36 = 43 -43n = 43 Divide each side by '-43'. n = -1 Simplifying n = -1
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