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Simplifying -2(3(2a + -3) + -5(a + -4)) = 0 Reorder the terms: -2(3(-3 + 2a) + -5(a + -4)) = 0 -2((-3 * 3 + 2a * 3) + -5(a + -4)) = 0 -2((-9 + 6a) + -5(a + -4)) = 0 Reorder the terms: -2(-9 + 6a + -5(-4 + a)) = 0 -2(-9 + 6a + (-4 * -5 + a * -5)) = 0 -2(-9 + 6a + (20 + -5a)) = 0 Reorder the terms: -2(-9 + 20 + 6a + -5a) = 0 Combine like terms: -9 + 20 = 11 -2(11 + 6a + -5a) = 0 Combine like terms: 6a + -5a = 1a -2(11 + 1a) = 0 (11 * -2 + 1a * -2) = 0 (-22 + -2a) = 0 Solving -22 + -2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -2a = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -2a = 0 + 22 -2a = 0 + 22 Combine like terms: 0 + 22 = 22 -2a = 22 Divide each side by '-2'. a = -11 Simplifying a = -11
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