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Simplifying 8a + -4(-5a + -2) = 24a Reorder the terms: 8a + -4(-2 + -5a) = 24a 8a + (-2 * -4 + -5a * -4) = 24a 8a + (8 + 20a) = 24a Reorder the terms: 8 + 8a + 20a = 24a Combine like terms: 8a + 20a = 28a 8 + 28a = 24a Solving 8 + 28a = 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. 8 + 28a + -24a = 24a + -24a Combine like terms: 28a + -24a = 4a 8 + 4a = 24a + -24a Combine like terms: 24a + -24a = 0 8 + 4a = 0 Add '-8' to each side of the equation. 8 + -8 + 4a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = 0 + -8 4a = 0 + -8 Combine like terms: 0 + -8 = -8 4a = -8 Divide each side by '4'. a = -2 Simplifying a = -2
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