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Simplifying 5a + 2(4a + 5) = 7a Reorder the terms: 5a + 2(5 + 4a) = 7a 5a + (5 * 2 + 4a * 2) = 7a 5a + (10 + 8a) = 7a Reorder the terms: 10 + 5a + 8a = 7a Combine like terms: 5a + 8a = 13a 10 + 13a = 7a Solving 10 + 13a = 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 10 + 13a + -7a = 7a + -7a Combine like terms: 13a + -7a = 6a 10 + 6a = 7a + -7a Combine like terms: 7a + -7a = 0 10 + 6a = 0 Add '-10' to each side of the equation. 10 + -10 + 6a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6a = 0 + -10 6a = 0 + -10 Combine like terms: 0 + -10 = -10 6a = -10 Divide each side by '6'. a = -1.666666667 Simplifying a = -1.666666667
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