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Simplifying 0.20(5 + -1n) + -0.50(5) = 0 (5 * 0.20 + -1n * 0.20) + -0.50(5) = 0 (1 + -0.2n) + -0.50(5) = 0 Multiply -0.50 * 5 1 + -0.2n + -2.5 = 0 Reorder the terms: 1 + -2.5 + -0.2n = 0 Combine like terms: 1 + -2.5 = -1.5 -1.5 + -0.2n = 0 Solving -1.5 + -0.2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + -0.2n = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -0.2n = 0 + 1.5 -0.2n = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -0.2n = 1.5 Divide each side by '-0.2'. n = -7.5 Simplifying n = -7.5
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