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Simplifying 2(x + -3a) = 4(3x + 2) + 9a Reorder the terms: 2(-3a + x) = 4(3x + 2) + 9a (-3a * 2 + x * 2) = 4(3x + 2) + 9a (-6a + 2x) = 4(3x + 2) + 9a Reorder the terms: -6a + 2x = 4(2 + 3x) + 9a -6a + 2x = (2 * 4 + 3x * 4) + 9a -6a + 2x = (8 + 12x) + 9a Reorder the terms: -6a + 2x = 8 + 9a + 12x Solving -6a + 2x = 8 + 9a + 12x 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. -6a + -9a + 2x = 8 + 9a + -9a + 12x Combine like terms: -6a + -9a = -15a -15a + 2x = 8 + 9a + -9a + 12x Combine like terms: 9a + -9a = 0 -15a + 2x = 8 + 0 + 12x -15a + 2x = 8 + 12x Add '-2x' to each side of the equation. -15a + 2x + -2x = 8 + 12x + -2x Combine like terms: 2x + -2x = 0 -15a + 0 = 8 + 12x + -2x -15a = 8 + 12x + -2x Combine like terms: 12x + -2x = 10x -15a = 8 + 10x Divide each side by '-15'. a = -0.5333333333 + -0.6666666667x Simplifying a = -0.5333333333 + -0.6666666667x
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