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Simplifying 5(-2 + 1n) + 8(1n + -8) = 4 (-2 * 5 + 1n * 5) + 8(1n + -8) = 4 (-10 + 5n) + 8(1n + -8) = 4 Reorder the terms: -10 + 5n + 8(-8 + 1n) = 4 -10 + 5n + (-8 * 8 + 1n * 8) = 4 -10 + 5n + (-64 + 8n) = 4 Reorder the terms: -10 + -64 + 5n + 8n = 4 Combine like terms: -10 + -64 = -74 -74 + 5n + 8n = 4 Combine like terms: 5n + 8n = 13n -74 + 13n = 4 Solving -74 + 13n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 13n = 4 + 74 Combine like terms: -74 + 74 = 0 0 + 13n = 4 + 74 13n = 4 + 74 Combine like terms: 4 + 74 = 78 13n = 78 Divide each side by '13'. n = 6 Simplifying n = 6
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