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Simplifying 5(a + -1) + 2(a + 3) = 12 Reorder the terms: 5(-1 + a) + 2(a + 3) = 12 (-1 * 5 + a * 5) + 2(a + 3) = 12 (-5 + 5a) + 2(a + 3) = 12 Reorder the terms: -5 + 5a + 2(3 + a) = 12 -5 + 5a + (3 * 2 + a * 2) = 12 -5 + 5a + (6 + 2a) = 12 Reorder the terms: -5 + 6 + 5a + 2a = 12 Combine like terms: -5 + 6 = 1 1 + 5a + 2a = 12 Combine like terms: 5a + 2a = 7a 1 + 7a = 12 Solving 1 + 7a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7a = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 12 + -1 7a = 12 + -1 Combine like terms: 12 + -1 = 11 7a = 11 Divide each side by '7'. a = 1.571428571 Simplifying a = 1.571428571
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