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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 = -43 11n = -43 Divide each side by '11'. n = -3.909090909 Simplifying n = -3.909090909
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