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Simplifying 2(a + 1) = 3(9 + -2) + -9 Reorder the terms: 2(1 + a) = 3(9 + -2) + -9 (1 * 2 + a * 2) = 3(9 + -2) + -9 (2 + 2a) = 3(9 + -2) + -9 Combine like terms: 9 + -2 = 7 2 + 2a = 3(7) + -9 Multiply 3 * 7 2 + 2a = 21 + -9 Combine like terms: 21 + -9 = 12 2 + 2a = 12 Solving 2 + 2a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2a = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2a = 12 + -2 2a = 12 + -2 Combine like terms: 12 + -2 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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