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Simplifying -6(n + 1) = -14 + -7n Reorder the terms: -6(1 + n) = -14 + -7n (1 * -6 + n * -6) = -14 + -7n (-6 + -6n) = -14 + -7n Solving -6 + -6n = -14 + -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. -6 + -6n + 7n = -14 + -7n + 7n Combine like terms: -6n + 7n = 1n -6 + 1n = -14 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + 1n = -14 + 0 -6 + 1n = -14 Add '6' to each side of the equation. -6 + 6 + 1n = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 1n = -14 + 6 1n = -14 + 6 Combine like terms: -14 + 6 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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