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Simplifying 6(n + -4) = 29 + 5n Reorder the terms: 6(-4 + n) = 29 + 5n (-4 * 6 + n * 6) = 29 + 5n (-24 + 6n) = 29 + 5n Solving -24 + 6n = 29 + 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 = 29 + 5n + -5n Combine like terms: 6n + -5n = 1n -24 + 1n = 29 + 5n + -5n Combine like terms: 5n + -5n = 0 -24 + 1n = 29 + 0 -24 + 1n = 29 Add '24' to each side of the equation. -24 + 24 + 1n = 29 + 24 Combine like terms: -24 + 24 = 0 0 + 1n = 29 + 24 1n = 29 + 24 Combine like terms: 29 + 24 = 53 1n = 53 Divide each side by '1'. n = 53 Simplifying n = 53
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