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Simplifying 2(a + 2) + -3(a + -2) = 9 Reorder the terms: 2(2 + a) + -3(a + -2) = 9 (2 * 2 + a * 2) + -3(a + -2) = 9 (4 + 2a) + -3(a + -2) = 9 Reorder the terms: 4 + 2a + -3(-2 + a) = 9 4 + 2a + (-2 * -3 + a * -3) = 9 4 + 2a + (6 + -3a) = 9 Reorder the terms: 4 + 6 + 2a + -3a = 9 Combine like terms: 4 + 6 = 10 10 + 2a + -3a = 9 Combine like terms: 2a + -3a = -1a 10 + -1a = 9 Solving 10 + -1a = 9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1a = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -1a = 9 + -10 -1a = 9 + -10 Combine like terms: 9 + -10 = -1 -1a = -1 Divide each side by '-1'. a = 1 Simplifying a = 1
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