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Simplifying 5(a + 2) + -3(a + -4) = 20 Reorder the terms: 5(2 + a) + -3(a + -4) = 20 (2 * 5 + a * 5) + -3(a + -4) = 20 (10 + 5a) + -3(a + -4) = 20 Reorder the terms: 10 + 5a + -3(-4 + a) = 20 10 + 5a + (-4 * -3 + a * -3) = 20 10 + 5a + (12 + -3a) = 20 Reorder the terms: 10 + 12 + 5a + -3a = 20 Combine like terms: 10 + 12 = 22 22 + 5a + -3a = 20 Combine like terms: 5a + -3a = 2a 22 + 2a = 20 Solving 22 + 2a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 2a = 20 + -22 Combine like terms: 22 + -22 = 0 0 + 2a = 20 + -22 2a = 20 + -22 Combine like terms: 20 + -22 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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