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Simplifying 6(n + -5) = 8n + -46 Reorder the terms: 6(-5 + n) = 8n + -46 (-5 * 6 + n * 6) = 8n + -46 (-30 + 6n) = 8n + -46 Reorder the terms: -30 + 6n = -46 + 8n Solving -30 + 6n = -46 + 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. -30 + 6n + -8n = -46 + 8n + -8n Combine like terms: 6n + -8n = -2n -30 + -2n = -46 + 8n + -8n Combine like terms: 8n + -8n = 0 -30 + -2n = -46 + 0 -30 + -2n = -46 Add '30' to each side of the equation. -30 + 30 + -2n = -46 + 30 Combine like terms: -30 + 30 = 0 0 + -2n = -46 + 30 -2n = -46 + 30 Combine like terms: -46 + 30 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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