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Simplifying -3a + -5[2a + -2[2a + -1(4a + -2) + -2(7 + -3a)]] = 0 Reorder the terms: -3a + -5[2a + -2[2a + -1(-2 + 4a) + -2(7 + -3a)]] = 0 -3a + -5[2a + -2[2a + (-2 * -1 + 4a * -1) + -2(7 + -3a)]] = 0 -3a + -5[2a + -2[2a + (2 + -4a) + -2(7 + -3a)]] = 0 -3a + -5[2a + -2[2a + 2 + -4a + (7 * -2 + -3a * -2)]] = 0 -3a + -5[2a + -2[2a + 2 + -4a + (-14 + 6a)]] = 0 Reorder the terms: -3a + -5[2a + -2[2 + -14 + 2a + -4a + 6a]] = 0 Combine like terms: 2 + -14 = -12 -3a + -5[2a + -2[-12 + 2a + -4a + 6a]] = 0 Combine like terms: 2a + -4a = -2a -3a + -5[2a + -2[-12 + -2a + 6a]] = 0 Combine like terms: -2a + 6a = 4a -3a + -5[2a + -2[-12 + 4a]] = 0 -3a + -5[2a + [-12 * -2 + 4a * -2]] = 0 -3a + -5[2a + [24 + -8a]] = 0 Reorder the terms: -3a + -5[24 + 2a + -8a] = 0 Combine like terms: 2a + -8a = -6a -3a + -5[24 + -6a] = 0 -3a + [24 * -5 + -6a * -5] = 0 -3a + [-120 + 30a] = 0 Reorder the terms: -120 + -3a + 30a = 0 Combine like terms: -3a + 30a = 27a -120 + 27a = 0 Solving -120 + 27a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 27a = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 27a = 0 + 120 27a = 0 + 120 Combine like terms: 0 + 120 = 120 27a = 120 Divide each side by '27'. a = 4.444444444 Simplifying a = 4.444444444
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