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Simplifying 6(n + -4) + -4.8 = 5n + 5.2 Reorder the terms: 6(-4 + n) + -4.8 = 5n + 5.2 (-4 * 6 + n * 6) + -4.8 = 5n + 5.2 (-24 + 6n) + -4.8 = 5n + 5.2 Reorder the terms: -24 + -4.8 + 6n = 5n + 5.2 Combine like terms: -24 + -4.8 = -28.8 -28.8 + 6n = 5n + 5.2 Reorder the terms: -28.8 + 6n = 5.2 + 5n Solving -28.8 + 6n = 5.2 + 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. -28.8 + 6n + -5n = 5.2 + 5n + -5n Combine like terms: 6n + -5n = 1n -28.8 + 1n = 5.2 + 5n + -5n Combine like terms: 5n + -5n = 0 -28.8 + 1n = 5.2 + 0 -28.8 + 1n = 5.2 Add '28.8' to each side of the equation. -28.8 + 28.8 + 1n = 5.2 + 28.8 Combine like terms: -28.8 + 28.8 = 0.0 0.0 + 1n = 5.2 + 28.8 1n = 5.2 + 28.8 Combine like terms: 5.2 + 28.8 = 34 1n = 34 Divide each side by '1'. n = 34 Simplifying n = 34
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