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Simplifying 5a + 10(a + 5) + 25(a + 15) = 825 Reorder the terms: 5a + 10(5 + a) + 25(a + 15) = 825 5a + (5 * 10 + a * 10) + 25(a + 15) = 825 5a + (50 + 10a) + 25(a + 15) = 825 Reorder the terms: 5a + 50 + 10a + 25(15 + a) = 825 5a + 50 + 10a + (15 * 25 + a * 25) = 825 5a + 50 + 10a + (375 + 25a) = 825 Reorder the terms: 50 + 375 + 5a + 10a + 25a = 825 Combine like terms: 50 + 375 = 425 425 + 5a + 10a + 25a = 825 Combine like terms: 5a + 10a = 15a 425 + 15a + 25a = 825 Combine like terms: 15a + 25a = 40a 425 + 40a = 825 Solving 425 + 40a = 825 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-425' to each side of the equation. 425 + -425 + 40a = 825 + -425 Combine like terms: 425 + -425 = 0 0 + 40a = 825 + -425 40a = 825 + -425 Combine like terms: 825 + -425 = 400 40a = 400 Divide each side by '40'. a = 10 Simplifying a = 10
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