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Simplifying -5n + -6(n + 5) = -5n + 18 Reorder the terms: -5n + -6(5 + n) = -5n + 18 -5n + (5 * -6 + n * -6) = -5n + 18 -5n + (-30 + -6n) = -5n + 18 Reorder the terms: -30 + -5n + -6n = -5n + 18 Combine like terms: -5n + -6n = -11n -30 + -11n = -5n + 18 Reorder the terms: -30 + -11n = 18 + -5n Solving -30 + -11n = 18 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -30 + -11n + 5n = 18 + -5n + 5n Combine like terms: -11n + 5n = -6n -30 + -6n = 18 + -5n + 5n Combine like terms: -5n + 5n = 0 -30 + -6n = 18 + 0 -30 + -6n = 18 Add '30' to each side of the equation. -30 + 30 + -6n = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -6n = 18 + 30 -6n = 18 + 30 Combine like terms: 18 + 30 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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