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Simplifying 5(a + 2) = 2(3 + -1a) Reorder the terms: 5(2 + a) = 2(3 + -1a) (2 * 5 + a * 5) = 2(3 + -1a) (10 + 5a) = 2(3 + -1a) 10 + 5a = (3 * 2 + -1a * 2) 10 + 5a = (6 + -2a) Solving 10 + 5a = 6 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 10 + 5a + 2a = 6 + -2a + 2a Combine like terms: 5a + 2a = 7a 10 + 7a = 6 + -2a + 2a Combine like terms: -2a + 2a = 0 10 + 7a = 6 + 0 10 + 7a = 6 Add '-10' to each side of the equation. 10 + -10 + 7a = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 7a = 6 + -10 7a = 6 + -10 Combine like terms: 6 + -10 = -4 7a = -4 Divide each side by '7'. a = -0.5714285714 Simplifying a = -0.5714285714
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