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Simplifying -36 + 8n = 6(n + -7) Reorder the terms: -36 + 8n = 6(-7 + n) -36 + 8n = (-7 * 6 + n * 6) -36 + 8n = (-42 + 6n) Solving -36 + 8n = -42 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -36 + 8n + -6n = -42 + 6n + -6n Combine like terms: 8n + -6n = 2n -36 + 2n = -42 + 6n + -6n Combine like terms: 6n + -6n = 0 -36 + 2n = -42 + 0 -36 + 2n = -42 Add '36' to each side of the equation. -36 + 36 + 2n = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 2n = -42 + 36 2n = -42 + 36 Combine like terms: -42 + 36 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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