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Simplifying 5n + -1(7 + 7n) = 5 + 4n 5n + (7 * -1 + 7n * -1) = 5 + 4n 5n + (-7 + -7n) = 5 + 4n Reorder the terms: -7 + 5n + -7n = 5 + 4n Combine like terms: 5n + -7n = -2n -7 + -2n = 5 + 4n Solving -7 + -2n = 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 + -2n + -4n = 5 + 4n + -4n Combine like terms: -2n + -4n = -6n -7 + -6n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 -7 + -6n = 5 + 0 -7 + -6n = 5 Add '7' to each side of the equation. -7 + 7 + -6n = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = 5 + 7 -6n = 5 + 7 Combine like terms: 5 + 7 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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