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Simplifying 9 + 0.5(7n + -26) + -8n = 0 Reorder the terms: 9 + 0.5(-26 + 7n) + -8n = 0 9 + (-26 * 0.5 + 7n * 0.5) + -8n = 0 9 + (-13 + 3.5n) + -8n = 0 Combine like terms: 9 + -13 = -4 -4 + 3.5n + -8n = 0 Combine like terms: 3.5n + -8n = -4.5n -4 + -4.5n = 0 Solving -4 + -4.5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -4.5n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -4.5n = 0 + 4 -4.5n = 0 + 4 Combine like terms: 0 + 4 = 4 -4.5n = 4 Divide each side by '-4.5'. n = -0.8888888889 Simplifying n = -0.8888888889
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