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Simplifying 3(n + -5) + -1(8 + 8n) = -6n Reorder the terms: 3(-5 + n) + -1(8 + 8n) = -6n (-5 * 3 + n * 3) + -1(8 + 8n) = -6n (-15 + 3n) + -1(8 + 8n) = -6n -15 + 3n + (8 * -1 + 8n * -1) = -6n -15 + 3n + (-8 + -8n) = -6n Reorder the terms: -15 + -8 + 3n + -8n = -6n Combine like terms: -15 + -8 = -23 -23 + 3n + -8n = -6n Combine like terms: 3n + -8n = -5n -23 + -5n = -6n Solving -23 + -5n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -23 + -5n + 6n = -6n + 6n Combine like terms: -5n + 6n = 1n -23 + 1n = -6n + 6n Combine like terms: -6n + 6n = 0 -23 + 1n = 0 Add '23' to each side of the equation. -23 + 23 + 1n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1n = 0 + 23 1n = 0 + 23 Combine like terms: 0 + 23 = 23 1n = 23 Divide each side by '1'. n = 23 Simplifying n = 23
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