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Simplifying 4(3n + 4) = 6(4n + 1) + 4 Reorder the terms: 4(4 + 3n) = 6(4n + 1) + 4 (4 * 4 + 3n * 4) = 6(4n + 1) + 4 (16 + 12n) = 6(4n + 1) + 4 Reorder the terms: 16 + 12n = 6(1 + 4n) + 4 16 + 12n = (1 * 6 + 4n * 6) + 4 16 + 12n = (6 + 24n) + 4 Reorder the terms: 16 + 12n = 6 + 4 + 24n Combine like terms: 6 + 4 = 10 16 + 12n = 10 + 24n Solving 16 + 12n = 10 + 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. 16 + 12n + -24n = 10 + 24n + -24n Combine like terms: 12n + -24n = -12n 16 + -12n = 10 + 24n + -24n Combine like terms: 24n + -24n = 0 16 + -12n = 10 + 0 16 + -12n = 10 Add '-16' to each side of the equation. 16 + -16 + -12n = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -12n = 10 + -16 -12n = 10 + -16 Combine like terms: 10 + -16 = -6 -12n = -6 Divide each side by '-12'. n = 0.5 Simplifying n = 0.5
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