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Simplifying 4(3n + 4) = 8(4n + 7) + 9 Reorder the terms: 4(4 + 3n) = 8(4n + 7) + 9 (4 * 4 + 3n * 4) = 8(4n + 7) + 9 (16 + 12n) = 8(4n + 7) + 9 Reorder the terms: 16 + 12n = 8(7 + 4n) + 9 16 + 12n = (7 * 8 + 4n * 8) + 9 16 + 12n = (56 + 32n) + 9 Reorder the terms: 16 + 12n = 56 + 9 + 32n Combine like terms: 56 + 9 = 65 16 + 12n = 65 + 32n Solving 16 + 12n = 65 + 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. 16 + 12n + -32n = 65 + 32n + -32n Combine like terms: 12n + -32n = -20n 16 + -20n = 65 + 32n + -32n Combine like terms: 32n + -32n = 0 16 + -20n = 65 + 0 16 + -20n = 65 Add '-16' to each side of the equation. 16 + -16 + -20n = 65 + -16 Combine like terms: 16 + -16 = 0 0 + -20n = 65 + -16 -20n = 65 + -16 Combine like terms: 65 + -16 = 49 -20n = 49 Divide each side by '-20'. n = -2.45 Simplifying n = -2.45
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