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Simplifying 8a + -4(5a + -2) = 12a Reorder the terms: 8a + -4(-2 + 5a) = 12a 8a + (-2 * -4 + 5a * -4) = 12a 8a + (8 + -20a) = 12a Reorder the terms: 8 + 8a + -20a = 12a Combine like terms: 8a + -20a = -12a 8 + -12a = 12a Solving 8 + -12a = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 8 + -12a + -12a = 12a + -12a Combine like terms: -12a + -12a = -24a 8 + -24a = 12a + -12a Combine like terms: 12a + -12a = 0 8 + -24a = 0 Add '-8' to each side of the equation. 8 + -8 + -24a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -24a = 0 + -8 -24a = 0 + -8 Combine like terms: 0 + -8 = -8 -24a = -8 Divide each side by '-24'. a = 0.3333333333 Simplifying a = 0.3333333333
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