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Simplifying 6(n + -7) + -1(2 + -3n) = 8n Reorder the terms: 6(-7 + n) + -1(2 + -3n) = 8n (-7 * 6 + n * 6) + -1(2 + -3n) = 8n (-42 + 6n) + -1(2 + -3n) = 8n -42 + 6n + (2 * -1 + -3n * -1) = 8n -42 + 6n + (-2 + 3n) = 8n Reorder the terms: -42 + -2 + 6n + 3n = 8n Combine like terms: -42 + -2 = -44 -44 + 6n + 3n = 8n Combine like terms: 6n + 3n = 9n -44 + 9n = 8n Solving -44 + 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. -44 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -44 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -44 + 1n = 0 Add '44' to each side of the equation. -44 + 44 + 1n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 1n = 0 + 44 1n = 0 + 44 Combine like terms: 0 + 44 = 44 1n = 44 Divide each side by '1'. n = 44 Simplifying n = 44
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