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Simplifying 4(n + -8) = 3 + 5n Reorder the terms: 4(-8 + n) = 3 + 5n (-8 * 4 + n * 4) = 3 + 5n (-32 + 4n) = 3 + 5n Solving -32 + 4n = 3 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -32 + 4n + -5n = 3 + 5n + -5n Combine like terms: 4n + -5n = -1n -32 + -1n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -32 + -1n = 3 + 0 -32 + -1n = 3 Add '32' to each side of the equation. -32 + 32 + -1n = 3 + 32 Combine like terms: -32 + 32 = 0 0 + -1n = 3 + 32 -1n = 3 + 32 Combine like terms: 3 + 32 = 35 -1n = 35 Divide each side by '-1'. n = -35 Simplifying n = -35
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