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Simplifying 8n + -32 = 4n + -5(-6n + -4) Reorder the terms: -32 + 8n = 4n + -5(-6n + -4) Reorder the terms: -32 + 8n = 4n + -5(-4 + -6n) -32 + 8n = 4n + (-4 * -5 + -6n * -5) -32 + 8n = 4n + (20 + 30n) Reorder the terms: -32 + 8n = 20 + 4n + 30n Combine like terms: 4n + 30n = 34n -32 + 8n = 20 + 34n Solving -32 + 8n = 20 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. -32 + 8n + -34n = 20 + 34n + -34n Combine like terms: 8n + -34n = -26n -32 + -26n = 20 + 34n + -34n Combine like terms: 34n + -34n = 0 -32 + -26n = 20 + 0 -32 + -26n = 20 Add '32' to each side of the equation. -32 + 32 + -26n = 20 + 32 Combine like terms: -32 + 32 = 0 0 + -26n = 20 + 32 -26n = 20 + 32 Combine like terms: 20 + 32 = 52 -26n = 52 Divide each side by '-26'. n = -2 Simplifying n = -2
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