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Simplifying 8(n + -3) + -5n = 5 + -2n Reorder the terms: 8(-3 + n) + -5n = 5 + -2n (-3 * 8 + n * 8) + -5n = 5 + -2n (-24 + 8n) + -5n = 5 + -2n Combine like terms: 8n + -5n = 3n -24 + 3n = 5 + -2n Solving -24 + 3n = 5 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -24 + 3n + 2n = 5 + -2n + 2n Combine like terms: 3n + 2n = 5n -24 + 5n = 5 + -2n + 2n Combine like terms: -2n + 2n = 0 -24 + 5n = 5 + 0 -24 + 5n = 5 Add '24' to each side of the equation. -24 + 24 + 5n = 5 + 24 Combine like terms: -24 + 24 = 0 0 + 5n = 5 + 24 5n = 5 + 24 Combine like terms: 5 + 24 = 29 5n = 29 Divide each side by '5'. n = 5.8 Simplifying n = 5.8
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