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Simplifying -12a + -4(5a + -1) = 2(3a + 6) + -4a Reorder the terms: -12a + -4(-1 + 5a) = 2(3a + 6) + -4a -12a + (-1 * -4 + 5a * -4) = 2(3a + 6) + -4a -12a + (4 + -20a) = 2(3a + 6) + -4a Reorder the terms: 4 + -12a + -20a = 2(3a + 6) + -4a Combine like terms: -12a + -20a = -32a 4 + -32a = 2(3a + 6) + -4a Reorder the terms: 4 + -32a = 2(6 + 3a) + -4a 4 + -32a = (6 * 2 + 3a * 2) + -4a 4 + -32a = (12 + 6a) + -4a Combine like terms: 6a + -4a = 2a 4 + -32a = 12 + 2a Solving 4 + -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. 4 + -32a + -2a = 12 + 2a + -2a Combine like terms: -32a + -2a = -34a 4 + -34a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + -34a = 12 + 0 4 + -34a = 12 Add '-4' to each side of the equation. 4 + -4 + -34a = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -34a = 12 + -4 -34a = 12 + -4 Combine like terms: 12 + -4 = 8 -34a = 8 Divide each side by '-34'. a = -0.2352941176 Simplifying a = -0.2352941176
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