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Simplifying 3n + 5 = -8(6 + n) Reorder the terms: 5 + 3n = -8(6 + n) 5 + 3n = (6 * -8 + n * -8) 5 + 3n = (-48 + -8n) Solving 5 + 3n = -48 + -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. 5 + 3n + 8n = -48 + -8n + 8n Combine like terms: 3n + 8n = 11n 5 + 11n = -48 + -8n + 8n Combine like terms: -8n + 8n = 0 5 + 11n = -48 + 0 5 + 11n = -48 Add '-5' to each side of the equation. 5 + -5 + 11n = -48 + -5 Combine like terms: 5 + -5 = 0 0 + 11n = -48 + -5 11n = -48 + -5 Combine like terms: -48 + -5 = -53 11n = -53 Divide each side by '11'. n = -4.818181818 Simplifying n = -4.818181818
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