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Simplifying 6(n + -5) + -1(7 + -3n) = 8n Reorder the terms: 6(-5 + n) + -1(7 + -3n) = 8n (-5 * 6 + n * 6) + -1(7 + -3n) = 8n (-30 + 6n) + -1(7 + -3n) = 8n -30 + 6n + (7 * -1 + -3n * -1) = 8n -30 + 6n + (-7 + 3n) = 8n Reorder the terms: -30 + -7 + 6n + 3n = 8n Combine like terms: -30 + -7 = -37 -37 + 6n + 3n = 8n Combine like terms: 6n + 3n = 9n -37 + 9n = 8n Solving -37 + 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. -37 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -37 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -37 + 1n = 0 Add '37' to each side of the equation. -37 + 37 + 1n = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1n = 0 + 37 1n = 0 + 37 Combine like terms: 0 + 37 = 37 1n = 37 Divide each side by '1'. n = 37 Simplifying n = 37
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