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Simplifying 4(n + 8) + n = 6(n + -4) + 3n Reorder the terms: 4(8 + n) + n = 6(n + -4) + 3n (8 * 4 + n * 4) + n = 6(n + -4) + 3n (32 + 4n) + n = 6(n + -4) + 3n Combine like terms: 4n + n = 5n 32 + 5n = 6(n + -4) + 3n Reorder the terms: 32 + 5n = 6(-4 + n) + 3n 32 + 5n = (-4 * 6 + n * 6) + 3n 32 + 5n = (-24 + 6n) + 3n Combine like terms: 6n + 3n = 9n 32 + 5n = -24 + 9n Solving 32 + 5n = -24 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 32 + 5n + -9n = -24 + 9n + -9n Combine like terms: 5n + -9n = -4n 32 + -4n = -24 + 9n + -9n Combine like terms: 9n + -9n = 0 32 + -4n = -24 + 0 32 + -4n = -24 Add '-32' to each side of the equation. 32 + -32 + -4n = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -4n = -24 + -32 -4n = -24 + -32 Combine like terms: -24 + -32 = -56 -4n = -56 Divide each side by '-4'. n = 14 Simplifying n = 14
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