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Simplifying 5a + -2(3a + -1) = 2(4a + 6) + -2a Reorder the terms: 5a + -2(-1 + 3a) = 2(4a + 6) + -2a 5a + (-1 * -2 + 3a * -2) = 2(4a + 6) + -2a 5a + (2 + -6a) = 2(4a + 6) + -2a Reorder the terms: 2 + 5a + -6a = 2(4a + 6) + -2a Combine like terms: 5a + -6a = -1a 2 + -1a = 2(4a + 6) + -2a Reorder the terms: 2 + -1a = 2(6 + 4a) + -2a 2 + -1a = (6 * 2 + 4a * 2) + -2a 2 + -1a = (12 + 8a) + -2a Combine like terms: 8a + -2a = 6a 2 + -1a = 12 + 6a Solving 2 + -1a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 2 + -1a + -6a = 12 + 6a + -6a Combine like terms: -1a + -6a = -7a 2 + -7a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 2 + -7a = 12 + 0 2 + -7a = 12 Add '-2' to each side of the equation. 2 + -2 + -7a = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -7a = 12 + -2 -7a = 12 + -2 Combine like terms: 12 + -2 = 10 -7a = 10 Divide each side by '-7'. a = -1.428571429 Simplifying a = -1.428571429
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