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Simplifying 3.6 = 0.5(8n + -4.6) Reorder the terms: 3.6 = 0.5(-4.6 + 8n) 3.6 = (-4.6 * 0.5 + 8n * 0.5) 3.6 = (-2.3 + 4n) Solving 3.6 = -2.3 + 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. 3.6 + -4n = -2.3 + 4n + -4n Combine like terms: 4n + -4n = 0 3.6 + -4n = -2.3 + 0 3.6 + -4n = -2.3 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -4n = -2.3 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -4n = -2.3 + -3.6 -4n = -2.3 + -3.6 Combine like terms: -2.3 + -3.6 = -5.9 -4n = -5.9 Divide each side by '-4'. n = 1.475 Simplifying n = 1.475
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