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Simplifying -1(6 + -4a) + -1(20 + 3a) + -3 = -5(5 + -6a) + (-1a) + 4 (6 * -1 + -4a * -1) + -1(20 + 3a) + -3 = -5(5 + -6a) + (-1a) + 4 (-6 + 4a) + -1(20 + 3a) + -3 = -5(5 + -6a) + (-1a) + 4 -6 + 4a + (20 * -1 + 3a * -1) + -3 = -5(5 + -6a) + (-1a) + 4 -6 + 4a + (-20 + -3a) + -3 = -5(5 + -6a) + (-1a) + 4 Reorder the terms: -6 + -20 + -3 + 4a + -3a = -5(5 + -6a) + (-1a) + 4 Combine like terms: -6 + -20 = -26 -26 + -3 + 4a + -3a = -5(5 + -6a) + (-1a) + 4 Combine like terms: -26 + -3 = -29 -29 + 4a + -3a = -5(5 + -6a) + (-1a) + 4 Combine like terms: 4a + -3a = 1a -29 + 1a = -5(5 + -6a) + (-1a) + 4 -29 + 1a = (5 * -5 + -6a * -5) + (-1a) + 4 -29 + 1a = (-25 + 30a) + (-1a) + 4 Reorder the terms: -29 + 1a = -25 + 4 + 30a + (-1a) Combine like terms: -25 + 4 = -21 -29 + 1a = -21 + 30a + (-1a) Combine like terms: 30a + (-1a) = 29a -29 + 1a = -21 + 29a Solving -29 + 1a = -21 + 29a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29a' to each side of the equation. -29 + 1a + -29a = -21 + 29a + -29a Combine like terms: 1a + -29a = -28a -29 + -28a = -21 + 29a + -29a Combine like terms: 29a + -29a = 0 -29 + -28a = -21 + 0 -29 + -28a = -21 Add '29' to each side of the equation. -29 + 29 + -28a = -21 + 29 Combine like terms: -29 + 29 = 0 0 + -28a = -21 + 29 -28a = -21 + 29 Combine like terms: -21 + 29 = 8 -28a = 8 Divide each side by '-28'. a = -0.2857142857 Simplifying a = -0.2857142857
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