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Simplifying 8n + 7 + -12n = 4n + 5 + -9 Reorder the terms: 7 + 8n + -12n = 4n + 5 + -9 Combine like terms: 8n + -12n = -4n 7 + -4n = 4n + 5 + -9 Reorder the terms: 7 + -4n = 5 + -9 + 4n Combine like terms: 5 + -9 = -4 7 + -4n = -4 + 4n Solving 7 + -4n = -4 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 7 + -4n + -4n = -4 + 4n + -4n Combine like terms: -4n + -4n = -8n 7 + -8n = -4 + 4n + -4n Combine like terms: 4n + -4n = 0 7 + -8n = -4 + 0 7 + -8n = -4 Add '-7' to each side of the equation. 7 + -7 + -8n = -4 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = -4 + -7 -8n = -4 + -7 Combine like terms: -4 + -7 = -11 -8n = -11 Divide each side by '-8'. n = 1.375 Simplifying n = 1.375
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