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Simplifying 3(-8a + 5) + -4a = -4a + 39 Reorder the terms: 3(5 + -8a) + -4a = -4a + 39 (5 * 3 + -8a * 3) + -4a = -4a + 39 (15 + -24a) + -4a = -4a + 39 Combine like terms: -24a + -4a = -28a 15 + -28a = -4a + 39 Reorder the terms: 15 + -28a = 39 + -4a Solving 15 + -28a = 39 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 15 + -28a + 4a = 39 + -4a + 4a Combine like terms: -28a + 4a = -24a 15 + -24a = 39 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + -24a = 39 + 0 15 + -24a = 39 Add '-15' to each side of the equation. 15 + -15 + -24a = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -24a = 39 + -15 -24a = 39 + -15 Combine like terms: 39 + -15 = 24 -24a = 24 Divide each side by '-24'. a = -1 Simplifying a = -1
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