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Simplifying -6(a + -3) + -7(5 + -4a) = 0 Reorder the terms: -6(-3 + a) + -7(5 + -4a) = 0 (-3 * -6 + a * -6) + -7(5 + -4a) = 0 (18 + -6a) + -7(5 + -4a) = 0 18 + -6a + (5 * -7 + -4a * -7) = 0 18 + -6a + (-35 + 28a) = 0 Reorder the terms: 18 + -35 + -6a + 28a = 0 Combine like terms: 18 + -35 = -17 -17 + -6a + 28a = 0 Combine like terms: -6a + 28a = 22a -17 + 22a = 0 Solving -17 + 22a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 22a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 22a = 0 + 17 22a = 0 + 17 Combine like terms: 0 + 17 = 17 22a = 17 Divide each side by '22'. a = 0.7727272727 Simplifying a = 0.7727272727
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