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Simplifying -2(3a + -7) + 3(4a + 7) = 0 Reorder the terms: -2(-7 + 3a) + 3(4a + 7) = 0 (-7 * -2 + 3a * -2) + 3(4a + 7) = 0 (14 + -6a) + 3(4a + 7) = 0 Reorder the terms: 14 + -6a + 3(7 + 4a) = 0 14 + -6a + (7 * 3 + 4a * 3) = 0 14 + -6a + (21 + 12a) = 0 Reorder the terms: 14 + 21 + -6a + 12a = 0 Combine like terms: 14 + 21 = 35 35 + -6a + 12a = 0 Combine like terms: -6a + 12a = 6a 35 + 6a = 0 Solving 35 + 6a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 6a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 6a = 0 + -35 6a = 0 + -35 Combine like terms: 0 + -35 = -35 6a = -35 Divide each side by '6'. a = -5.833333333 Simplifying a = -5.833333333
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