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Simplifying 5a + 10(a + 15) + 25(a + 8) = 670 Reorder the terms: 5a + 10(15 + a) + 25(a + 8) = 670 5a + (15 * 10 + a * 10) + 25(a + 8) = 670 5a + (150 + 10a) + 25(a + 8) = 670 Reorder the terms: 5a + 150 + 10a + 25(8 + a) = 670 5a + 150 + 10a + (8 * 25 + a * 25) = 670 5a + 150 + 10a + (200 + 25a) = 670 Reorder the terms: 150 + 200 + 5a + 10a + 25a = 670 Combine like terms: 150 + 200 = 350 350 + 5a + 10a + 25a = 670 Combine like terms: 5a + 10a = 15a 350 + 15a + 25a = 670 Combine like terms: 15a + 25a = 40a 350 + 40a = 670 Solving 350 + 40a = 670 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-350' to each side of the equation. 350 + -350 + 40a = 670 + -350 Combine like terms: 350 + -350 = 0 0 + 40a = 670 + -350 40a = 670 + -350 Combine like terms: 670 + -350 = 320 40a = 320 Divide each side by '40'. a = 8 Simplifying a = 8
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