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Simplifying 8 + 6n = 6n + -8(n + -5) Reorder the terms: 8 + 6n = 6n + -8(-5 + n) 8 + 6n = 6n + (-5 * -8 + n * -8) 8 + 6n = 6n + (40 + -8n) Reorder the terms: 8 + 6n = 40 + 6n + -8n Combine like terms: 6n + -8n = -2n 8 + 6n = 40 + -2n Solving 8 + 6n = 40 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 8 + 6n + 2n = 40 + -2n + 2n Combine like terms: 6n + 2n = 8n 8 + 8n = 40 + -2n + 2n Combine like terms: -2n + 2n = 0 8 + 8n = 40 + 0 8 + 8n = 40 Add '-8' to each side of the equation. 8 + -8 + 8n = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = 40 + -8 8n = 40 + -8 Combine like terms: 40 + -8 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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