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Simplifying -10n + 33(8 + 8n) = -6(n + -4) -10n + (8 * 33 + 8n * 33) = -6(n + -4) -10n + (264 + 264n) = -6(n + -4) Reorder the terms: 264 + -10n + 264n = -6(n + -4) Combine like terms: -10n + 264n = 254n 264 + 254n = -6(n + -4) Reorder the terms: 264 + 254n = -6(-4 + n) 264 + 254n = (-4 * -6 + n * -6) 264 + 254n = (24 + -6n) Solving 264 + 254n = 24 + -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. 264 + 254n + 6n = 24 + -6n + 6n Combine like terms: 254n + 6n = 260n 264 + 260n = 24 + -6n + 6n Combine like terms: -6n + 6n = 0 264 + 260n = 24 + 0 264 + 260n = 24 Add '-264' to each side of the equation. 264 + -264 + 260n = 24 + -264 Combine like terms: 264 + -264 = 0 0 + 260n = 24 + -264 260n = 24 + -264 Combine like terms: 24 + -264 = -240 260n = -240 Divide each side by '260'. n = -0.9230769231 Simplifying n = -0.9230769231
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