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Simplifying -6(n + 6) = 7 + -5n Reorder the terms: -6(6 + n) = 7 + -5n (6 * -6 + n * -6) = 7 + -5n (-36 + -6n) = 7 + -5n Solving -36 + -6n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -36 + -6n + 5n = 7 + -5n + 5n Combine like terms: -6n + 5n = -1n -36 + -1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 -36 + -1n = 7 + 0 -36 + -1n = 7 Add '36' to each side of the equation. -36 + 36 + -1n = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -1n = 7 + 36 -1n = 7 + 36 Combine like terms: 7 + 36 = 43 -1n = 43 Divide each side by '-1'. n = -43 Simplifying n = -43
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