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Simplifying -97 = -4n + -5(n + 5) Reorder the terms: -97 = -4n + -5(5 + n) -97 = -4n + (5 * -5 + n * -5) -97 = -4n + (-25 + -5n) Reorder the terms: -97 = -25 + -4n + -5n Combine like terms: -4n + -5n = -9n -97 = -25 + -9n Solving -97 = -25 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -97 + 9n = -25 + -9n + 9n Combine like terms: -9n + 9n = 0 -97 + 9n = -25 + 0 -97 + 9n = -25 Add '97' to each side of the equation. -97 + 97 + 9n = -25 + 97 Combine like terms: -97 + 97 = 0 0 + 9n = -25 + 97 9n = -25 + 97 Combine like terms: -25 + 97 = 72 9n = 72 Divide each side by '9'. n = 8 Simplifying n = 8
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