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Simplifying 2a + -3(8a + 4) + 4(12 + -1a) = 0 Reorder the terms: 2a + -3(4 + 8a) + 4(12 + -1a) = 0 2a + (4 * -3 + 8a * -3) + 4(12 + -1a) = 0 2a + (-12 + -24a) + 4(12 + -1a) = 0 2a + -12 + -24a + (12 * 4 + -1a * 4) = 0 2a + -12 + -24a + (48 + -4a) = 0 Reorder the terms: -12 + 48 + 2a + -24a + -4a = 0 Combine like terms: -12 + 48 = 36 36 + 2a + -24a + -4a = 0 Combine like terms: 2a + -24a = -22a 36 + -22a + -4a = 0 Combine like terms: -22a + -4a = -26a 36 + -26a = 0 Solving 36 + -26a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -26a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -26a = 0 + -36 -26a = 0 + -36 Combine like terms: 0 + -36 = -36 -26a = -36 Divide each side by '-26'. a = 1.384615385 Simplifying a = 1.384615385
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