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Simplifying -30 + -5n = 6(n + 4) Reorder the terms: -30 + -5n = 6(4 + n) -30 + -5n = (4 * 6 + n * 6) -30 + -5n = (24 + 6n) Solving -30 + -5n = 24 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -30 + -5n + -6n = 24 + 6n + -6n Combine like terms: -5n + -6n = -11n -30 + -11n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 -30 + -11n = 24 + 0 -30 + -11n = 24 Add '30' to each side of the equation. -30 + 30 + -11n = 24 + 30 Combine like terms: -30 + 30 = 0 0 + -11n = 24 + 30 -11n = 24 + 30 Combine like terms: 24 + 30 = 54 -11n = 54 Divide each side by '-11'. n = -4.909090909 Simplifying n = -4.909090909
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