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Simplifying 3(n + -7) + -1(2 + -6n) = 8n Reorder the terms: 3(-7 + n) + -1(2 + -6n) = 8n (-7 * 3 + n * 3) + -1(2 + -6n) = 8n (-21 + 3n) + -1(2 + -6n) = 8n -21 + 3n + (2 * -1 + -6n * -1) = 8n -21 + 3n + (-2 + 6n) = 8n Reorder the terms: -21 + -2 + 3n + 6n = 8n Combine like terms: -21 + -2 = -23 -23 + 3n + 6n = 8n Combine like terms: 3n + 6n = 9n -23 + 9n = 8n Solving -23 + 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. -23 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n -23 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 -23 + 1n = 0 Add '23' to each side of the equation. -23 + 23 + 1n = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1n = 0 + 23 1n = 0 + 23 Combine like terms: 0 + 23 = 23 1n = 23 Divide each side by '1'. n = 23 Simplifying n = 23
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