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Simplifying 4(a + 2) + -2a = 10 + 3(3 + -1a) Reorder the terms: 4(2 + a) + -2a = 10 + 3(3 + -1a) (2 * 4 + a * 4) + -2a = 10 + 3(3 + -1a) (8 + 4a) + -2a = 10 + 3(3 + -1a) Combine like terms: 4a + -2a = 2a 8 + 2a = 10 + 3(3 + -1a) 8 + 2a = 10 + (3 * 3 + -1a * 3) 8 + 2a = 10 + (9 + -3a) Combine like terms: 10 + 9 = 19 8 + 2a = 19 + -3a Solving 8 + 2a = 19 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 8 + 2a + 3a = 19 + -3a + 3a Combine like terms: 2a + 3a = 5a 8 + 5a = 19 + -3a + 3a Combine like terms: -3a + 3a = 0 8 + 5a = 19 + 0 8 + 5a = 19 Add '-8' to each side of the equation. 8 + -8 + 5a = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 19 + -8 5a = 19 + -8 Combine like terms: 19 + -8 = 11 5a = 11 Divide each side by '5'. a = 2.2 Simplifying a = 2.2
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