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Simplifying 6n + -24 = 4(n + -8) + n Reorder the terms: -24 + 6n = 4(n + -8) + n Reorder the terms: -24 + 6n = 4(-8 + n) + n -24 + 6n = (-8 * 4 + n * 4) + n -24 + 6n = (-32 + 4n) + n Combine like terms: 4n + n = 5n -24 + 6n = -32 + 5n Solving -24 + 6n = -32 + 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. -24 + 6n + -5n = -32 + 5n + -5n Combine like terms: 6n + -5n = 1n -24 + 1n = -32 + 5n + -5n Combine like terms: 5n + -5n = 0 -24 + 1n = -32 + 0 -24 + 1n = -32 Add '24' to each side of the equation. -24 + 24 + 1n = -32 + 24 Combine like terms: -24 + 24 = 0 0 + 1n = -32 + 24 1n = -32 + 24 Combine like terms: -32 + 24 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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