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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 Reorder the terms for easier multiplication: -9 + 3a + -1 * 4(4 + 2a) = (2 + -5a) + -1a Multiply -1 * 4 -9 + 3a + -4(4 + 2a) = (2 + -5a) + -1a -9 + 3a + (4 * -4 + 2a * -4) = (2 + -5a) + -1a -9 + 3a + (-16 + -8a) = (2 + -5a) + -1a Reorder the terms: -9 + -16 + 3a + -8a = (2 + -5a) + -1a Combine like terms: -9 + -16 = -25 -25 + 3a + -8a = (2 + -5a) + -1a Combine like terms: 3a + -8a = -5a -25 + -5a = (2 + -5a) + -1a Remove parenthesis around (2 + -5a) -25 + -5a = 2 + -5a + -1a Combine like terms: -5a + -1a = -6a -25 + -5a = 2 + -6a Solving -25 + -5a = 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. -25 + -5a + 6a = 2 + -6a + 6a Combine like terms: -5a + 6a = 1a -25 + 1a = 2 + -6a + 6a Combine like terms: -6a + 6a = 0 -25 + 1a = 2 + 0 -25 + 1a = 2 Add '25' to each side of the equation. -25 + 25 + 1a = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 1a = 2 + 25 1a = 2 + 25 Combine like terms: 2 + 25 = 27 1a = 27 Divide each side by '1'. a = 27 Simplifying a = 27
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