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Simplifying 4(3n + 1) = 8(4n + 6) + 8 Reorder the terms: 4(1 + 3n) = 8(4n + 6) + 8 (1 * 4 + 3n * 4) = 8(4n + 6) + 8 (4 + 12n) = 8(4n + 6) + 8 Reorder the terms: 4 + 12n = 8(6 + 4n) + 8 4 + 12n = (6 * 8 + 4n * 8) + 8 4 + 12n = (48 + 32n) + 8 Reorder the terms: 4 + 12n = 48 + 8 + 32n Combine like terms: 48 + 8 = 56 4 + 12n = 56 + 32n Solving 4 + 12n = 56 + 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. 4 + 12n + -32n = 56 + 32n + -32n Combine like terms: 12n + -32n = -20n 4 + -20n = 56 + 32n + -32n Combine like terms: 32n + -32n = 0 4 + -20n = 56 + 0 4 + -20n = 56 Add '-4' to each side of the equation. 4 + -4 + -20n = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -20n = 56 + -4 -20n = 56 + -4 Combine like terms: 56 + -4 = 52 -20n = 52 Divide each side by '-20'. n = -2.6 Simplifying n = -2.6
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