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Simplifying -5(3 + -5n) + 8n = 6n + 12 (3 * -5 + -5n * -5) + 8n = 6n + 12 (-15 + 25n) + 8n = 6n + 12 Combine like terms: 25n + 8n = 33n -15 + 33n = 6n + 12 Reorder the terms: -15 + 33n = 12 + 6n Solving -15 + 33n = 12 + 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. -15 + 33n + -6n = 12 + 6n + -6n Combine like terms: 33n + -6n = 27n -15 + 27n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + 27n = 12 + 0 -15 + 27n = 12 Add '15' to each side of the equation. -15 + 15 + 27n = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 27n = 12 + 15 27n = 12 + 15 Combine like terms: 12 + 15 = 27 27n = 27 Divide each side by '27'. n = 1 Simplifying n = 1
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