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Simplifying -12 + -47 + 32 + 16n = 8n + -8 + -6 Combine like terms: -12 + -47 = -59 -59 + 32 + 16n = 8n + -8 + -6 Combine like terms: -59 + 32 = -27 -27 + 16n = 8n + -8 + -6 Reorder the terms: -27 + 16n = -8 + -6 + 8n Combine like terms: -8 + -6 = -14 -27 + 16n = -14 + 8n Solving -27 + 16n = -14 + 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. -27 + 16n + -8n = -14 + 8n + -8n Combine like terms: 16n + -8n = 8n -27 + 8n = -14 + 8n + -8n Combine like terms: 8n + -8n = 0 -27 + 8n = -14 + 0 -27 + 8n = -14 Add '27' to each side of the equation. -27 + 27 + 8n = -14 + 27 Combine like terms: -27 + 27 = 0 0 + 8n = -14 + 27 8n = -14 + 27 Combine like terms: -14 + 27 = 13 8n = 13 Divide each side by '8'. n = 1.625 Simplifying n = 1.625
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