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Simplifying -7(1 + -1n) + -7 = 4 + n (1 * -7 + -1n * -7) + -7 = 4 + n (-7 + 7n) + -7 = 4 + n Reorder the terms: -7 + -7 + 7n = 4 + n Combine like terms: -7 + -7 = -14 -14 + 7n = 4 + n Solving -14 + 7n = 4 + 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. -14 + 7n + -1n = 4 + n + -1n Combine like terms: 7n + -1n = 6n -14 + 6n = 4 + n + -1n Combine like terms: n + -1n = 0 -14 + 6n = 4 + 0 -14 + 6n = 4 Add '14' to each side of the equation. -14 + 14 + 6n = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6n = 4 + 14 6n = 4 + 14 Combine like terms: 4 + 14 = 18 6n = 18 Divide each side by '6'. n = 3 Simplifying n = 3
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