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Simplifying 8 + 6(6n + -7) = -8n + 10 Reorder the terms: 8 + 6(-7 + 6n) = -8n + 10 8 + (-7 * 6 + 6n * 6) = -8n + 10 8 + (-42 + 36n) = -8n + 10 Combine like terms: 8 + -42 = -34 -34 + 36n = -8n + 10 Reorder the terms: -34 + 36n = 10 + -8n Solving -34 + 36n = 10 + -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. -34 + 36n + 8n = 10 + -8n + 8n Combine like terms: 36n + 8n = 44n -34 + 44n = 10 + -8n + 8n Combine like terms: -8n + 8n = 0 -34 + 44n = 10 + 0 -34 + 44n = 10 Add '34' to each side of the equation. -34 + 34 + 44n = 10 + 34 Combine like terms: -34 + 34 = 0 0 + 44n = 10 + 34 44n = 10 + 34 Combine like terms: 10 + 34 = 44 44n = 44 Divide each side by '44'. n = 1 Simplifying n = 1
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