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Simplifying 1 = 5n + -1(n + 7) Reorder the terms: 1 = 5n + -1(7 + n) 1 = 5n + (7 * -1 + n * -1) 1 = 5n + (-7 + -1n) Reorder the terms: 1 = -7 + 5n + -1n Combine like terms: 5n + -1n = 4n 1 = -7 + 4n Solving 1 = -7 + 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. 1 + -4n = -7 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + -4n = -7 + 0 1 + -4n = -7 Add '-1' to each side of the equation. 1 + -1 + -4n = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -7 + -1 -4n = -7 + -1 Combine like terms: -7 + -1 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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