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Simplifying 12(2a + 5) = 8(a + -8) Reorder the terms: 12(5 + 2a) = 8(a + -8) (5 * 12 + 2a * 12) = 8(a + -8) (60 + 24a) = 8(a + -8) Reorder the terms: 60 + 24a = 8(-8 + a) 60 + 24a = (-8 * 8 + a * 8) 60 + 24a = (-64 + 8a) Solving 60 + 24a = -64 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 60 + 24a + -8a = -64 + 8a + -8a Combine like terms: 24a + -8a = 16a 60 + 16a = -64 + 8a + -8a Combine like terms: 8a + -8a = 0 60 + 16a = -64 + 0 60 + 16a = -64 Add '-60' to each side of the equation. 60 + -60 + 16a = -64 + -60 Combine like terms: 60 + -60 = 0 0 + 16a = -64 + -60 16a = -64 + -60 Combine like terms: -64 + -60 = -124 16a = -124 Divide each side by '16'. a = -7.75 Simplifying a = -7.75
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