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Simplifying 6n + -20 + 5n = 2(n + 4) + 4n + -35 Reorder the terms: -20 + 6n + 5n = 2(n + 4) + 4n + -35 Combine like terms: 6n + 5n = 11n -20 + 11n = 2(n + 4) + 4n + -35 Reorder the terms: -20 + 11n = 2(4 + n) + 4n + -35 -20 + 11n = (4 * 2 + n * 2) + 4n + -35 -20 + 11n = (8 + 2n) + 4n + -35 Reorder the terms: -20 + 11n = 8 + -35 + 2n + 4n Combine like terms: 8 + -35 = -27 -20 + 11n = -27 + 2n + 4n Combine like terms: 2n + 4n = 6n -20 + 11n = -27 + 6n Solving -20 + 11n = -27 + 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. -20 + 11n + -6n = -27 + 6n + -6n Combine like terms: 11n + -6n = 5n -20 + 5n = -27 + 6n + -6n Combine like terms: 6n + -6n = 0 -20 + 5n = -27 + 0 -20 + 5n = -27 Add '20' to each side of the equation. -20 + 20 + 5n = -27 + 20 Combine like terms: -20 + 20 = 0 0 + 5n = -27 + 20 5n = -27 + 20 Combine like terms: -27 + 20 = -7 5n = -7 Divide each side by '5'. n = -1.4 Simplifying n = -1.4
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