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Simplifying 32n + 12 = 40n + 42 Reorder the terms: 12 + 32n = 40n + 42 Reorder the terms: 12 + 32n = 42 + 40n Solving 12 + 32n = 42 + 40n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40n' to each side of the equation. 12 + 32n + -40n = 42 + 40n + -40n Combine like terms: 32n + -40n = -8n 12 + -8n = 42 + 40n + -40n Combine like terms: 40n + -40n = 0 12 + -8n = 42 + 0 12 + -8n = 42 Add '-12' to each side of the equation. 12 + -12 + -8n = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -8n = 42 + -12 -8n = 42 + -12 Combine like terms: 42 + -12 = 30 -8n = 30 Divide each side by '-8'. n = -3.75 Simplifying n = -3.75
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