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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 = 28a 8 + 28a = 12a Solving 8 + 28a = 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 + 28a + -12a = 12a + -12a Combine like terms: 28a + -12a = 16a 8 + 16a = 12a + -12a Combine like terms: 12a + -12a = 0 8 + 16a = 0 Add '-8' to each side of the equation. 8 + -8 + 16a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 16a = 0 + -8 16a = 0 + -8 Combine like terms: 0 + -8 = -8 16a = -8 Divide each side by '16'. a = -0.5 Simplifying a = -0.5
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