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Simplifying 4(a + 3) + -5(a + -1) = 2 Reorder the terms: 4(3 + a) + -5(a + -1) = 2 (3 * 4 + a * 4) + -5(a + -1) = 2 (12 + 4a) + -5(a + -1) = 2 Reorder the terms: 12 + 4a + -5(-1 + a) = 2 12 + 4a + (-1 * -5 + a * -5) = 2 12 + 4a + (5 + -5a) = 2 Reorder the terms: 12 + 5 + 4a + -5a = 2 Combine like terms: 12 + 5 = 17 17 + 4a + -5a = 2 Combine like terms: 4a + -5a = -1a 17 + -1a = 2 Solving 17 + -1a = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1a = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -1a = 2 + -17 -1a = 2 + -17 Combine like terms: 2 + -17 = -15 -1a = -15 Divide each side by '-1'. a = 15 Simplifying a = 15
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