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Simplifying 9 + 1.5(7n + -26) + -8n = 0 Reorder the terms: 9 + 1.5(-26 + 7n) + -8n = 0 9 + (-26 * 1.5 + 7n * 1.5) + -8n = 0 9 + (-39 + 10.5n) + -8n = 0 Combine like terms: 9 + -39 = -30 -30 + 10.5n + -8n = 0 Combine like terms: 10.5n + -8n = 2.5n -30 + 2.5n = 0 Solving -30 + 2.5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 2.5n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 2.5n = 0 + 30 2.5n = 0 + 30 Combine like terms: 0 + 30 = 30 2.5n = 30 Divide each side by '2.5'. n = 12 Simplifying n = 12
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