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Simplifying 12(a + -8) = 3(2a + 5) Reorder the terms: 12(-8 + a) = 3(2a + 5) (-8 * 12 + a * 12) = 3(2a + 5) (-96 + 12a) = 3(2a + 5) Reorder the terms: -96 + 12a = 3(5 + 2a) -96 + 12a = (5 * 3 + 2a * 3) -96 + 12a = (15 + 6a) Solving -96 + 12a = 15 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -96 + 12a + -6a = 15 + 6a + -6a Combine like terms: 12a + -6a = 6a -96 + 6a = 15 + 6a + -6a Combine like terms: 6a + -6a = 0 -96 + 6a = 15 + 0 -96 + 6a = 15 Add '96' to each side of the equation. -96 + 96 + 6a = 15 + 96 Combine like terms: -96 + 96 = 0 0 + 6a = 15 + 96 6a = 15 + 96 Combine like terms: 15 + 96 = 111 6a = 111 Divide each side by '6'. a = 18.5 Simplifying a = 18.5
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