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Simplifying 4(5n + -4) = 26 + 6n Reorder the terms: 4(-4 + 5n) = 26 + 6n (-4 * 4 + 5n * 4) = 26 + 6n (-16 + 20n) = 26 + 6n Solving -16 + 20n = 26 + 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 + 20n + -6n = 26 + 6n + -6n Combine like terms: 20n + -6n = 14n -16 + 14n = 26 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + 14n = 26 + 0 -16 + 14n = 26 Add '16' to each side of the equation. -16 + 16 + 14n = 26 + 16 Combine like terms: -16 + 16 = 0 0 + 14n = 26 + 16 14n = 26 + 16 Combine like terms: 26 + 16 = 42 14n = 42 Divide each side by '14'. n = 3 Simplifying n = 3
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