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Simplifying 4(1 + 5n) + 4 = 6(6 + 4n) (1 * 4 + 5n * 4) + 4 = 6(6 + 4n) (4 + 20n) + 4 = 6(6 + 4n) Reorder the terms: 4 + 4 + 20n = 6(6 + 4n) Combine like terms: 4 + 4 = 8 8 + 20n = 6(6 + 4n) 8 + 20n = (6 * 6 + 4n * 6) 8 + 20n = (36 + 24n) Solving 8 + 20n = 36 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 8 + 20n + -24n = 36 + 24n + -24n Combine like terms: 20n + -24n = -4n 8 + -4n = 36 + 24n + -24n Combine like terms: 24n + -24n = 0 8 + -4n = 36 + 0 8 + -4n = 36 Add '-8' to each side of the equation. 8 + -8 + -4n = 36 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = 36 + -8 -4n = 36 + -8 Combine like terms: 36 + -8 = 28 -4n = 28 Divide each side by '-4'. n = -7 Simplifying n = -7
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