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Simplifying 5(a + -1) + 4(a + 2) = 12 Reorder the terms: 5(-1 + a) + 4(a + 2) = 12 (-1 * 5 + a * 5) + 4(a + 2) = 12 (-5 + 5a) + 4(a + 2) = 12 Reorder the terms: -5 + 5a + 4(2 + a) = 12 -5 + 5a + (2 * 4 + a * 4) = 12 -5 + 5a + (8 + 4a) = 12 Reorder the terms: -5 + 8 + 5a + 4a = 12 Combine like terms: -5 + 8 = 3 3 + 5a + 4a = 12 Combine like terms: 5a + 4a = 9a 3 + 9a = 12 Solving 3 + 9a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9a = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9a = 12 + -3 9a = 12 + -3 Combine like terms: 12 + -3 = 9 9a = 9 Divide each side by '9'. a = 1 Simplifying a = 1
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