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Simplifying -7(n + 2) = 6 + -6n Reorder the terms: -7(2 + n) = 6 + -6n (2 * -7 + n * -7) = 6 + -6n (-14 + -7n) = 6 + -6n Solving -14 + -7n = 6 + -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. -14 + -7n + 6n = 6 + -6n + 6n Combine like terms: -7n + 6n = -1n -14 + -1n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + -1n = 6 + 0 -14 + -1n = 6 Add '14' to each side of the equation. -14 + 14 + -1n = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = 6 + 14 -1n = 6 + 14 Combine like terms: 6 + 14 = 20 -1n = 20 Divide each side by '-1'. n = -20 Simplifying n = -20
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