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Simplifying 6(n + -8) = 4(12 + -5n) + 14n Reorder the terms: 6(-8 + n) = 4(12 + -5n) + 14n (-8 * 6 + n * 6) = 4(12 + -5n) + 14n (-48 + 6n) = 4(12 + -5n) + 14n -48 + 6n = (12 * 4 + -5n * 4) + 14n -48 + 6n = (48 + -20n) + 14n Combine like terms: -20n + 14n = -6n -48 + 6n = 48 + -6n Solving -48 + 6n = 48 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -48 + 6n + 6n = 48 + -6n + 6n Combine like terms: 6n + 6n = 12n -48 + 12n = 48 + -6n + 6n Combine like terms: -6n + 6n = 0 -48 + 12n = 48 + 0 -48 + 12n = 48 Add '48' to each side of the equation. -48 + 48 + 12n = 48 + 48 Combine like terms: -48 + 48 = 0 0 + 12n = 48 + 48 12n = 48 + 48 Combine like terms: 48 + 48 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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