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Simplifying 8n + -12 + 14 = 12n + -4 + 4n + 2 Reorder the terms: -12 + 14 + 8n = 12n + -4 + 4n + 2 Combine like terms: -12 + 14 = 2 2 + 8n = 12n + -4 + 4n + 2 Reorder the terms: 2 + 8n = -4 + 2 + 12n + 4n Combine like terms: -4 + 2 = -2 2 + 8n = -2 + 12n + 4n Combine like terms: 12n + 4n = 16n 2 + 8n = -2 + 16n Solving 2 + 8n = -2 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 2 + 8n + -16n = -2 + 16n + -16n Combine like terms: 8n + -16n = -8n 2 + -8n = -2 + 16n + -16n Combine like terms: 16n + -16n = 0 2 + -8n = -2 + 0 2 + -8n = -2 Add '-2' to each side of the equation. 2 + -2 + -8n = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -8n = -2 + -2 -8n = -2 + -2 Combine like terms: -2 + -2 = -4 -8n = -4 Divide each side by '-8'. n = 0.5 Simplifying n = 0.5
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