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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 = -8a 4 + -8a = 2(3a + -6) + -4a Reorder the terms: 4 + -8a = 2(-6 + 3a) + -4a 4 + -8a = (-6 * 2 + 3a * 2) + -4a 4 + -8a = (-12 + 6a) + -4a Combine like terms: 6a + -4a = 2a 4 + -8a = -12 + 2a Solving 4 + -8a = -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 + -8a + -2a = -12 + 2a + -2a Combine like terms: -8a + -2a = -10a 4 + -10a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + -10a = -12 + 0 4 + -10a = -12 Add '-4' to each side of the equation. 4 + -4 + -10a = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -10a = -12 + -4 -10a = -12 + -4 Combine like terms: -12 + -4 = -16 -10a = -16 Divide each side by '-10'. a = 1.6 Simplifying a = 1.6
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