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Simplifying 71 = 9n + -5(n + -7) Reorder the terms: 71 = 9n + -5(-7 + n) 71 = 9n + (-7 * -5 + n * -5) 71 = 9n + (35 + -5n) Reorder the terms: 71 = 35 + 9n + -5n Combine like terms: 9n + -5n = 4n 71 = 35 + 4n Solving 71 = 35 + 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. 71 + -4n = 35 + 4n + -4n Combine like terms: 4n + -4n = 0 71 + -4n = 35 + 0 71 + -4n = 35 Add '-71' to each side of the equation. 71 + -71 + -4n = 35 + -71 Combine like terms: 71 + -71 = 0 0 + -4n = 35 + -71 -4n = 35 + -71 Combine like terms: 35 + -71 = -36 -4n = -36 Divide each side by '-4'. n = 9 Simplifying n = 9
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