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Simplifying -1(9 + -3a) + -1(4 + 2a) + -4 = (2 + -5a) + -1a (9 * -1 + -3a * -1) + -1(4 + 2a) + -4 = (2 + -5a) + -1a (-9 + 3a) + -1(4 + 2a) + -4 = (2 + -5a) + -1a -9 + 3a + (4 * -1 + 2a * -1) + -4 = (2 + -5a) + -1a -9 + 3a + (-4 + -2a) + -4 = (2 + -5a) + -1a Reorder the terms: -9 + -4 + -4 + 3a + -2a = (2 + -5a) + -1a Combine like terms: -9 + -4 = -13 -13 + -4 + 3a + -2a = (2 + -5a) + -1a Combine like terms: -13 + -4 = -17 -17 + 3a + -2a = (2 + -5a) + -1a Combine like terms: 3a + -2a = 1a -17 + 1a = (2 + -5a) + -1a Remove parenthesis around (2 + -5a) -17 + 1a = 2 + -5a + -1a Combine like terms: -5a + -1a = -6a -17 + 1a = 2 + -6a Solving -17 + 1a = 2 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -17 + 1a + 6a = 2 + -6a + 6a Combine like terms: 1a + 6a = 7a -17 + 7a = 2 + -6a + 6a Combine like terms: -6a + 6a = 0 -17 + 7a = 2 + 0 -17 + 7a = 2 Add '17' to each side of the equation. -17 + 17 + 7a = 2 + 17 Combine like terms: -17 + 17 = 0 0 + 7a = 2 + 17 7a = 2 + 17 Combine like terms: 2 + 17 = 19 7a = 19 Divide each side by '7'. a = 2.714285714 Simplifying a = 2.714285714
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