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Simplifying 2x + 3a + -4b = -2b + -11x + 9a Reorder the terms: 3a + -4b + 2x = -2b + -11x + 9a Reorder the terms: 3a + -4b + 2x = 9a + -2b + -11x Solving 3a + -4b + 2x = 9a + -2b + -11x 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. 3a + -4b + -9a + 2x = 9a + -2b + -9a + -11x Reorder the terms: 3a + -9a + -4b + 2x = 9a + -2b + -9a + -11x Combine like terms: 3a + -9a = -6a -6a + -4b + 2x = 9a + -2b + -9a + -11x Reorder the terms: -6a + -4b + 2x = 9a + -9a + -2b + -11x Combine like terms: 9a + -9a = 0 -6a + -4b + 2x = 0 + -2b + -11x -6a + -4b + 2x = -2b + -11x Add '4b' to each side of the equation. -6a + -4b + 4b + 2x = -2b + 4b + -11x Combine like terms: -4b + 4b = 0 -6a + 0 + 2x = -2b + 4b + -11x -6a + 2x = -2b + 4b + -11x Combine like terms: -2b + 4b = 2b -6a + 2x = 2b + -11x Add '-2x' to each side of the equation. -6a + 2x + -2x = 2b + -11x + -2x Combine like terms: 2x + -2x = 0 -6a + 0 = 2b + -11x + -2x -6a = 2b + -11x + -2x Combine like terms: -11x + -2x = -13x -6a = 2b + -13x Divide each side by '-6'. a = -0.3333333333b + 2.166666667x Simplifying a = -0.3333333333b + 2.166666667x
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