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Simplifying 6(6a + -4) + -1[3(3a + -2) + 2] = 0 Reorder the terms: 6(-4 + 6a) + -1[3(3a + -2) + 2] = 0 (-4 * 6 + 6a * 6) + -1[3(3a + -2) + 2] = 0 (-24 + 36a) + -1[3(3a + -2) + 2] = 0 Reorder the terms: -24 + 36a + -1[3(-2 + 3a) + 2] = 0 -24 + 36a + -1[(-2 * 3 + 3a * 3) + 2] = 0 -24 + 36a + -1[(-6 + 9a) + 2] = 0 Reorder the terms: -24 + 36a + -1[-6 + 2 + 9a] = 0 Combine like terms: -6 + 2 = -4 -24 + 36a + -1[-4 + 9a] = 0 -24 + 36a + [-4 * -1 + 9a * -1] = 0 -24 + 36a + [4 + -9a] = 0 Reorder the terms: -24 + 4 + 36a + -9a = 0 Combine like terms: -24 + 4 = -20 -20 + 36a + -9a = 0 Combine like terms: 36a + -9a = 27a -20 + 27a = 0 Solving -20 + 27a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 27a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 27a = 0 + 20 27a = 0 + 20 Combine like terms: 0 + 20 = 20 27a = 20 Divide each side by '27'. a = 0.7407407407 Simplifying a = 0.7407407407
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