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Simplifying 3.8 = -0.5(8n + -4.6) Reorder the terms: 3.8 = -0.5(-4.6 + 8n) 3.8 = (-4.6 * -0.5 + 8n * -0.5) 3.8 = (2.3 + -4n) Solving 3.8 = 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. 3.8 + 4n = 2.3 + -4n + 4n Combine like terms: -4n + 4n = 0 3.8 + 4n = 2.3 + 0 3.8 + 4n = 2.3 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 4n = 2.3 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 4n = 2.3 + -3.8 4n = 2.3 + -3.8 Combine like terms: 2.3 + -3.8 = -1.5 4n = -1.5 Divide each side by '4'. n = -0.375 Simplifying n = -0.375
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