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Simplifying 12(5a + 1) = (4 + -8a) Reorder the terms: 12(1 + 5a) = (4 + -8a) (1 * 12 + 5a * 12) = (4 + -8a) (12 + 60a) = (4 + -8a) Remove parenthesis around (4 + -8a) 12 + 60a = 4 + -8a Solving 12 + 60a = 4 + -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. 12 + 60a + 8a = 4 + -8a + 8a Combine like terms: 60a + 8a = 68a 12 + 68a = 4 + -8a + 8a Combine like terms: -8a + 8a = 0 12 + 68a = 4 + 0 12 + 68a = 4 Add '-12' to each side of the equation. 12 + -12 + 68a = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 68a = 4 + -12 68a = 4 + -12 Combine like terms: 4 + -12 = -8 68a = -8 Divide each side by '68'. a = -0.1176470588 Simplifying a = -0.1176470588
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