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Simplifying -5(n + -10) = 4(n + -6) Reorder the terms: -5(-10 + n) = 4(n + -6) (-10 * -5 + n * -5) = 4(n + -6) (50 + -5n) = 4(n + -6) Reorder the terms: 50 + -5n = 4(-6 + n) 50 + -5n = (-6 * 4 + n * 4) 50 + -5n = (-24 + 4n) Solving 50 + -5n = -24 + 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. 50 + -5n + -4n = -24 + 4n + -4n Combine like terms: -5n + -4n = -9n 50 + -9n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 50 + -9n = -24 + 0 50 + -9n = -24 Add '-50' to each side of the equation. 50 + -50 + -9n = -24 + -50 Combine like terms: 50 + -50 = 0 0 + -9n = -24 + -50 -9n = -24 + -50 Combine like terms: -24 + -50 = -74 -9n = -74 Divide each side by '-9'. n = 8.222222222 Simplifying n = 8.222222222
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