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Simplifying 5(n + -2) + -1(6 + -4n) = 8n Reorder the terms: 5(-2 + n) + -1(6 + -4n) = 8n (-2 * 5 + n * 5) + -1(6 + -4n) = 8n (-10 + 5n) + -1(6 + -4n) = 8n -10 + 5n + (6 * -1 + -4n * -1) = 8n -10 + 5n + (-6 + 4n) = 8n Reorder the terms: -10 + -6 + 5n + 4n = 8n Combine like terms: -10 + -6 = -16 -16 + 5n + 4n = 8n Combine like terms: 5n + 4n = 9n -16 + 9n = 8n Solving -16 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -16 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -16 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -16 + 1n = 0 Add '16' to each side of the equation. -16 + 16 + 1n = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 1n = 0 + 16 1n = 0 + 16 Combine like terms: 0 + 16 = 16 1n = 16 Divide each side by '1'. n = 16 Simplifying n = 16
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