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Simplifying 2(3x + 2a) + -3(x + 3a) = 4a Reorder the terms: 2(2a + 3x) + -3(x + 3a) = 4a (2a * 2 + 3x * 2) + -3(x + 3a) = 4a (4a + 6x) + -3(x + 3a) = 4a Reorder the terms: 4a + 6x + -3(3a + x) = 4a 4a + 6x + (3a * -3 + x * -3) = 4a 4a + 6x + (-9a + -3x) = 4a Reorder the terms: 4a + -9a + 6x + -3x = 4a Combine like terms: 4a + -9a = -5a -5a + 6x + -3x = 4a Combine like terms: 6x + -3x = 3x -5a + 3x = 4a Solving -5a + 3x = 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. -5a + -4a + 3x = 4a + -4a Combine like terms: -5a + -4a = -9a -9a + 3x = 4a + -4a Combine like terms: 4a + -4a = 0 -9a + 3x = 0 Add '-3x' to each side of the equation. -9a + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -9a + 0 = 0 + -3x -9a = 0 + -3x Remove the zero: -9a = -3x Divide each side by '-9'. a = 0.3333333333x Simplifying a = 0.3333333333x
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