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Simplifying 5(a + 2) = 7(3 + -1a) Reorder the terms: 5(2 + a) = 7(3 + -1a) (2 * 5 + a * 5) = 7(3 + -1a) (10 + 5a) = 7(3 + -1a) 10 + 5a = (3 * 7 + -1a * 7) 10 + 5a = (21 + -7a) Solving 10 + 5a = 21 + -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 + 5a + 7a = 21 + -7a + 7a Combine like terms: 5a + 7a = 12a 10 + 12a = 21 + -7a + 7a Combine like terms: -7a + 7a = 0 10 + 12a = 21 + 0 10 + 12a = 21 Add '-10' to each side of the equation. 10 + -10 + 12a = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 12a = 21 + -10 12a = 21 + -10 Combine like terms: 21 + -10 = 11 12a = 11 Divide each side by '12'. a = 0.9166666667 Simplifying a = 0.9166666667
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