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Simplifying 0.40 + 0.10 = 0.50(n + 4) Combine like terms: 0.40 + 0.10 = 0.5 0.5 = 0.50(n + 4) Reorder the terms: 0.5 = 0.50(4 + n) 0.5 = (4 * 0.50 + n * 0.50) 0.5 = (2 + 0.50n) Solving 0.5 = 2 + 0.50n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.50n' to each side of the equation. 0.5 + -0.50n = 2 + 0.50n + -0.50n Combine like terms: 0.50n + -0.50n = 0.00 0.5 + -0.50n = 2 + 0.00 0.5 + -0.50n = 2 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.50n = 2 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.50n = 2 + -0.5 -0.50n = 2 + -0.5 Combine like terms: 2 + -0.5 = 1.5 -0.50n = 1.5 Divide each side by '-0.50'. n = -3 Simplifying n = -3
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