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Simplifying 0.25n + 10 = 0.5(n + 4) Reorder the terms: 10 + 0.25n = 0.5(n + 4) Reorder the terms: 10 + 0.25n = 0.5(4 + n) 10 + 0.25n = (4 * 0.5 + n * 0.5) 10 + 0.25n = (2 + 0.5n) Solving 10 + 0.25n = 2 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 10 + 0.25n + -0.5n = 2 + 0.5n + -0.5n Combine like terms: 0.25n + -0.5n = -0.25n 10 + -0.25n = 2 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 10 + -0.25n = 2 + 0.0 10 + -0.25n = 2 Add '-10' to each side of the equation. 10 + -10 + -0.25n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -0.25n = 2 + -10 -0.25n = 2 + -10 Combine like terms: 2 + -10 = -8 -0.25n = -8 Divide each side by '-0.25'. n = 32 Simplifying n = 32
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