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Simplifying 4(4n + -4) + 5n = 11 + -6n Reorder the terms: 4(-4 + 4n) + 5n = 11 + -6n (-4 * 4 + 4n * 4) + 5n = 11 + -6n (-16 + 16n) + 5n = 11 + -6n Combine like terms: 16n + 5n = 21n -16 + 21n = 11 + -6n Solving -16 + 21n = 11 + -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. -16 + 21n + 6n = 11 + -6n + 6n Combine like terms: 21n + 6n = 27n -16 + 27n = 11 + -6n + 6n Combine like terms: -6n + 6n = 0 -16 + 27n = 11 + 0 -16 + 27n = 11 Add '16' to each side of the equation. -16 + 16 + 27n = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 27n = 11 + 16 27n = 11 + 16 Combine like terms: 11 + 16 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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