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Simplifying 0.50(4a + 10) = 2a + n Reorder the terms: 0.50(10 + 4a) = 2a + n (10 * 0.50 + 4a * 0.50) = 2a + n (5 + 2a) = 2a + n Add '-2a' to each side of the equation. 5 + 2a + -2a = 2a + -2a + n Combine like terms: 2a + -2a = 0 5 + 0 = 2a + -2a + n 5 = 2a + -2a + n Combine like terms: 2a + -2a = 0 5 = 0 + n 5 = n Solving 5 = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 5 + -1n = n + -1n Combine like terms: n + -1n = 0 5 + -1n = 0 Add '-5' to each side of the equation. 5 + -5 + -1n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = 0 + -5 -1n = 0 + -5 Combine like terms: 0 + -5 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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