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Simplifying 4n + 32 = 8n + -1n + -4 Reorder the terms: 32 + 4n = 8n + -1n + -4 Reorder the terms: 32 + 4n = -4 + 8n + -1n Combine like terms: 8n + -1n = 7n 32 + 4n = -4 + 7n Solving 32 + 4n = -4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 32 + 4n + -7n = -4 + 7n + -7n Combine like terms: 4n + -7n = -3n 32 + -3n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 32 + -3n = -4 + 0 32 + -3n = -4 Add '-32' to each side of the equation. 32 + -32 + -3n = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -3n = -4 + -32 -3n = -4 + -32 Combine like terms: -4 + -32 = -36 -3n = -36 Divide each side by '-3'. n = 12 Simplifying n = 12
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