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Simplifying 4(n + -2) = 32 + -4n Reorder the terms: 4(-2 + n) = 32 + -4n (-2 * 4 + n * 4) = 32 + -4n (-8 + 4n) = 32 + -4n Solving -8 + 4n = 32 + -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. -8 + 4n + 4n = 32 + -4n + 4n Combine like terms: 4n + 4n = 8n -8 + 8n = 32 + -4n + 4n Combine like terms: -4n + 4n = 0 -8 + 8n = 32 + 0 -8 + 8n = 32 Add '8' to each side of the equation. -8 + 8 + 8n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 8n = 32 + 8 8n = 32 + 8 Combine like terms: 32 + 8 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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