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