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Simplifying 4(a + 2) + -2a = 10 + 3(9 + -3) Reorder the terms: 4(2 + a) + -2a = 10 + 3(9 + -3) (2 * 4 + a * 4) + -2a = 10 + 3(9 + -3) (8 + 4a) + -2a = 10 + 3(9 + -3) Combine like terms: 4a + -2a = 2a 8 + 2a = 10 + 3(9 + -3) Combine like terms: 9 + -3 = 6 8 + 2a = 10 + 3(6) Multiply 3 * 6 8 + 2a = 10 + 18 Combine like terms: 10 + 18 = 28 8 + 2a = 28 Solving 8 + 2a = 28 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2a = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 28 + -8 2a = 28 + -8 Combine like terms: 28 + -8 = 20 2a = 20 Divide each side by '2'. a = 10 Simplifying a = 10
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