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Simplifying 3(a + -8) = 12(2a + 5) Reorder the terms: 3(-8 + a) = 12(2a + 5) (-8 * 3 + a * 3) = 12(2a + 5) (-24 + 3a) = 12(2a + 5) Reorder the terms: -24 + 3a = 12(5 + 2a) -24 + 3a = (5 * 12 + 2a * 12) -24 + 3a = (60 + 24a) Solving -24 + 3a = 60 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -24 + 3a + -24a = 60 + 24a + -24a Combine like terms: 3a + -24a = -21a -24 + -21a = 60 + 24a + -24a Combine like terms: 24a + -24a = 0 -24 + -21a = 60 + 0 -24 + -21a = 60 Add '24' to each side of the equation. -24 + 24 + -21a = 60 + 24 Combine like terms: -24 + 24 = 0 0 + -21a = 60 + 24 -21a = 60 + 24 Combine like terms: 60 + 24 = 84 -21a = 84 Divide each side by '-21'. a = -4 Simplifying a = -4
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