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Simplifying -214 = 5(-8n + -6) + -6n Reorder the terms: -214 = 5(-6 + -8n) + -6n -214 = (-6 * 5 + -8n * 5) + -6n -214 = (-30 + -40n) + -6n Combine like terms: -40n + -6n = -46n -214 = -30 + -46n Solving -214 = -30 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. -214 + 46n = -30 + -46n + 46n Combine like terms: -46n + 46n = 0 -214 + 46n = -30 + 0 -214 + 46n = -30 Add '214' to each side of the equation. -214 + 214 + 46n = -30 + 214 Combine like terms: -214 + 214 = 0 0 + 46n = -30 + 214 46n = -30 + 214 Combine like terms: -30 + 214 = 184 46n = 184 Divide each side by '46'. n = 4 Simplifying n = 4
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