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Simplifying 5n + 3(n + -5) = 2n + 57 Reorder the terms: 5n + 3(-5 + n) = 2n + 57 5n + (-5 * 3 + n * 3) = 2n + 57 5n + (-15 + 3n) = 2n + 57 Reorder the terms: -15 + 5n + 3n = 2n + 57 Combine like terms: 5n + 3n = 8n -15 + 8n = 2n + 57 Reorder the terms: -15 + 8n = 57 + 2n Solving -15 + 8n = 57 + 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. -15 + 8n + -2n = 57 + 2n + -2n Combine like terms: 8n + -2n = 6n -15 + 6n = 57 + 2n + -2n Combine like terms: 2n + -2n = 0 -15 + 6n = 57 + 0 -15 + 6n = 57 Add '15' to each side of the equation. -15 + 15 + 6n = 57 + 15 Combine like terms: -15 + 15 = 0 0 + 6n = 57 + 15 6n = 57 + 15 Combine like terms: 57 + 15 = 72 6n = 72 Divide each side by '6'. n = 12 Simplifying n = 12
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