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Simplifying 231 = 8(7 + 5a) + -5a 231 = (7 * 8 + 5a * 8) + -5a 231 = (56 + 40a) + -5a Combine like terms: 40a + -5a = 35a 231 = 56 + 35a Solving 231 = 56 + 35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35a' to each side of the equation. 231 + -35a = 56 + 35a + -35a Combine like terms: 35a + -35a = 0 231 + -35a = 56 + 0 231 + -35a = 56 Add '-231' to each side of the equation. 231 + -231 + -35a = 56 + -231 Combine like terms: 231 + -231 = 0 0 + -35a = 56 + -231 -35a = 56 + -231 Combine like terms: 56 + -231 = -175 -35a = -175 Divide each side by '-35'. a = 5 Simplifying a = 5
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