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Simplifying 488 = 4a + 8(1 + 7a) 488 = 4a + (1 * 8 + 7a * 8) 488 = 4a + (8 + 56a) Reorder the terms: 488 = 8 + 4a + 56a Combine like terms: 4a + 56a = 60a 488 = 8 + 60a Solving 488 = 8 + 60a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-60a' to each side of the equation. 488 + -60a = 8 + 60a + -60a Combine like terms: 60a + -60a = 0 488 + -60a = 8 + 0 488 + -60a = 8 Add '-488' to each side of the equation. 488 + -488 + -60a = 8 + -488 Combine like terms: 488 + -488 = 0 0 + -60a = 8 + -488 -60a = 8 + -488 Combine like terms: 8 + -488 = -480 -60a = -480 Divide each side by '-60'. a = 8 Simplifying a = 8
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