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Simplifying -3(3a + -6) + -4(1 + -1a) = 4a + 5a Reorder the terms: -3(-6 + 3a) + -4(1 + -1a) = 4a + 5a (-6 * -3 + 3a * -3) + -4(1 + -1a) = 4a + 5a (18 + -9a) + -4(1 + -1a) = 4a + 5a 18 + -9a + (1 * -4 + -1a * -4) = 4a + 5a 18 + -9a + (-4 + 4a) = 4a + 5a Reorder the terms: 18 + -4 + -9a + 4a = 4a + 5a Combine like terms: 18 + -4 = 14 14 + -9a + 4a = 4a + 5a Combine like terms: -9a + 4a = -5a 14 + -5a = 4a + 5a Combine like terms: 4a + 5a = 9a 14 + -5a = 9a Solving 14 + -5a = 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 14 + -5a + -9a = 9a + -9a Combine like terms: -5a + -9a = -14a 14 + -14a = 9a + -9a Combine like terms: 9a + -9a = 0 14 + -14a = 0 Add '-14' to each side of the equation. 14 + -14 + -14a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -14a = 0 + -14 -14a = 0 + -14 Combine like terms: 0 + -14 = -14 -14a = -14 Divide each side by '-14'. a = 1 Simplifying a = 1
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