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Simplifying 12a + -4(5a * -1) = 2(3a + 6) + -4a Reorder the terms for easier multiplication: 12a + -4(5 * -1a) = 2(3a + 6) + -4a Multiply 5 * -1 12a + -4(-5a) = 2(3a + 6) + -4a Remove parenthesis around (-5a) 12a + -4 * -5a = 2(3a + 6) + -4a Multiply -4 * -5 12a + 20a = 2(3a + 6) + -4a Combine like terms: 12a + 20a = 32a 32a = 2(3a + 6) + -4a Reorder the terms: 32a = 2(6 + 3a) + -4a 32a = (6 * 2 + 3a * 2) + -4a 32a = (12 + 6a) + -4a Combine like terms: 6a + -4a = 2a 32a = 12 + 2a Solving 32a = 12 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 32a + -2a = 12 + 2a + -2a Combine like terms: 32a + -2a = 30a 30a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 30a = 12 + 0 30a = 12 Divide each side by '30'. a = 0.4 Simplifying a = 0.4
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