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Simplifying a + -1(2 + -1a + -1(3a + -5(4a + -3) + a + -1) + -7(a + 2) + -3) + 2 = 0 Reorder the terms: a + -1(2 + -1a + -1(3a + -5(-3 + 4a) + a + -1) + -7(a + 2) + -3) + 2 = 0 a + -1(2 + -1a + -1(3a + (-3 * -5 + 4a * -5) + a + -1) + -7(a + 2) + -3) + 2 = 0 a + -1(2 + -1a + -1(3a + (15 + -20a) + a + -1) + -7(a + 2) + -3) + 2 = 0 Reorder the terms: a + -1(2 + -1a + -1(15 + -1 + 3a + -20a + a) + -7(a + 2) + -3) + 2 = 0 Combine like terms: 15 + -1 = 14 a + -1(2 + -1a + -1(14 + 3a + -20a + a) + -7(a + 2) + -3) + 2 = 0 Combine like terms: 3a + -20a = -17a a + -1(2 + -1a + -1(14 + -17a + a) + -7(a + 2) + -3) + 2 = 0 Combine like terms: -17a + a = -16a a + -1(2 + -1a + -1(14 + -16a) + -7(a + 2) + -3) + 2 = 0 a + -1(2 + -1a + (14 * -1 + -16a * -1) + -7(a + 2) + -3) + 2 = 0 a + -1(2 + -1a + (-14 + 16a) + -7(a + 2) + -3) + 2 = 0 Reorder the terms: a + -1(2 + -1a + -14 + 16a + -7(2 + a) + -3) + 2 = 0 a + -1(2 + -1a + -14 + 16a + (2 * -7 + a * -7) + -3) + 2 = 0 a + -1(2 + -1a + -14 + 16a + (-14 + -7a) + -3) + 2 = 0 Reorder the terms: a + -1(2 + -14 + -14 + -3 + -1a + 16a + -7a) + 2 = 0 Combine like terms: 2 + -14 = -12 a + -1(-12 + -14 + -3 + -1a + 16a + -7a) + 2 = 0 Combine like terms: -12 + -14 = -26 a + -1(-26 + -3 + -1a + 16a + -7a) + 2 = 0 Combine like terms: -26 + -3 = -29 a + -1(-29 + -1a + 16a + -7a) + 2 = 0 Combine like terms: -1a + 16a = 15a a + -1(-29 + 15a + -7a) + 2 = 0 Combine like terms: 15a + -7a = 8a a + -1(-29 + 8a) + 2 = 0 a + (-29 * -1 + 8a * -1) + 2 = 0 a + (29 + -8a) + 2 = 0 Reorder the terms: 29 + 2 + a + -8a = 0 Combine like terms: 29 + 2 = 31 31 + a + -8a = 0 Combine like terms: a + -8a = -7a 31 + -7a = 0 Solving 31 + -7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -7a = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -7a = 0 + -31 -7a = 0 + -31 Combine like terms: 0 + -31 = -31 -7a = -31 Divide each side by '-7'. a = 4.428571429 Simplifying a = 4.428571429
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