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Simplifying 6 + 5n + -1(4 + -1n) + 2 = 10 + -8(-1n + 2) + 3n 6 + 5n + (4 * -1 + -1n * -1) + 2 = 10 + -8(-1n + 2) + 3n 6 + 5n + (-4 + 1n) + 2 = 10 + -8(-1n + 2) + 3n Reorder the terms: 6 + -4 + 2 + 5n + 1n = 10 + -8(-1n + 2) + 3n Combine like terms: 6 + -4 = 2 2 + 2 + 5n + 1n = 10 + -8(-1n + 2) + 3n Combine like terms: 2 + 2 = 4 4 + 5n + 1n = 10 + -8(-1n + 2) + 3n Combine like terms: 5n + 1n = 6n 4 + 6n = 10 + -8(-1n + 2) + 3n Reorder the terms: 4 + 6n = 10 + -8(2 + -1n) + 3n 4 + 6n = 10 + (2 * -8 + -1n * -8) + 3n 4 + 6n = 10 + (-16 + 8n) + 3n Combine like terms: 10 + -16 = -6 4 + 6n = -6 + 8n + 3n Combine like terms: 8n + 3n = 11n 4 + 6n = -6 + 11n Solving 4 + 6n = -6 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 4 + 6n + -11n = -6 + 11n + -11n Combine like terms: 6n + -11n = -5n 4 + -5n = -6 + 11n + -11n Combine like terms: 11n + -11n = 0 4 + -5n = -6 + 0 4 + -5n = -6 Add '-4' to each side of the equation. 4 + -4 + -5n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -5n = -6 + -4 -5n = -6 + -4 Combine like terms: -6 + -4 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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