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Simplifying -6(n + 6) = -31 + -7n Reorder the terms: -6(6 + n) = -31 + -7n (6 * -6 + n * -6) = -31 + -7n (-36 + -6n) = -31 + -7n Solving -36 + -6n = -31 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -36 + -6n + 7n = -31 + -7n + 7n Combine like terms: -6n + 7n = 1n -36 + 1n = -31 + -7n + 7n Combine like terms: -7n + 7n = 0 -36 + 1n = -31 + 0 -36 + 1n = -31 Add '36' to each side of the equation. -36 + 36 + 1n = -31 + 36 Combine like terms: -36 + 36 = 0 0 + 1n = -31 + 36 1n = -31 + 36 Combine like terms: -31 + 36 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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