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Simplifying 8 + -4(5a + -2) = 12a Reorder the terms: 8 + -4(-2 + 5a) = 12a 8 + (-2 * -4 + 5a * -4) = 12a 8 + (8 + -20a) = 12a Combine like terms: 8 + 8 = 16 16 + -20a = 12a Solving 16 + -20a = 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. 16 + -20a + -12a = 12a + -12a Combine like terms: -20a + -12a = -32a 16 + -32a = 12a + -12a Combine like terms: 12a + -12a = 0 16 + -32a = 0 Add '-16' to each side of the equation. 16 + -16 + -32a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -32a = 0 + -16 -32a = 0 + -16 Combine like terms: 0 + -16 = -16 -32a = -16 Divide each side by '-32'. a = 0.5 Simplifying a = 0.5
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