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Simplifying 6(2n + 4) = 8(4n + 9) + 8 Reorder the terms: 6(4 + 2n) = 8(4n + 9) + 8 (4 * 6 + 2n * 6) = 8(4n + 9) + 8 (24 + 12n) = 8(4n + 9) + 8 Reorder the terms: 24 + 12n = 8(9 + 4n) + 8 24 + 12n = (9 * 8 + 4n * 8) + 8 24 + 12n = (72 + 32n) + 8 Reorder the terms: 24 + 12n = 72 + 8 + 32n Combine like terms: 72 + 8 = 80 24 + 12n = 80 + 32n Solving 24 + 12n = 80 + 32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-32n' to each side of the equation. 24 + 12n + -32n = 80 + 32n + -32n Combine like terms: 12n + -32n = -20n 24 + -20n = 80 + 32n + -32n Combine like terms: 32n + -32n = 0 24 + -20n = 80 + 0 24 + -20n = 80 Add '-24' to each side of the equation. 24 + -24 + -20n = 80 + -24 Combine like terms: 24 + -24 = 0 0 + -20n = 80 + -24 -20n = 80 + -24 Combine like terms: 80 + -24 = 56 -20n = 56 Divide each side by '-20'. n = -2.8 Simplifying n = -2.8
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