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Simplifying -7(1 + -1n) = 4n + 5 (1 * -7 + -1n * -7) = 4n + 5 (-7 + 7n) = 4n + 5 Reorder the terms: -7 + 7n = 5 + 4n Solving -7 + 7n = 5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -7 + 7n + -4n = 5 + 4n + -4n Combine like terms: 7n + -4n = 3n -7 + 3n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + 3n = 5 + 0 -7 + 3n = 5 Add '7' to each side of the equation. -7 + 7 + 3n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3n = 5 + 7 3n = 5 + 7 Combine like terms: 5 + 7 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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