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Simplifying 4x + -3(a + -2) = 2(3x + -2) Reorder the terms: 4x + -3(-2 + a) = 2(3x + -2) 4x + (-2 * -3 + a * -3) = 2(3x + -2) 4x + (6 + -3a) = 2(3x + -2) Reorder the terms: 6 + -3a + 4x = 2(3x + -2) Reorder the terms: 6 + -3a + 4x = 2(-2 + 3x) 6 + -3a + 4x = (-2 * 2 + 3x * 2) 6 + -3a + 4x = (-4 + 6x) Solving 6 + -3a + 4x = -4 + 6x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -3a + -6 + 4x = -4 + -6 + 6x Reorder the terms: 6 + -6 + -3a + 4x = -4 + -6 + 6x Combine like terms: 6 + -6 = 0 0 + -3a + 4x = -4 + -6 + 6x -3a + 4x = -4 + -6 + 6x Combine like terms: -4 + -6 = -10 -3a + 4x = -10 + 6x Add '-4x' to each side of the equation. -3a + 4x + -4x = -10 + 6x + -4x Combine like terms: 4x + -4x = 0 -3a + 0 = -10 + 6x + -4x -3a = -10 + 6x + -4x Combine like terms: 6x + -4x = 2x -3a = -10 + 2x Divide each side by '-3'. a = 3.333333333 + -0.6666666667x Simplifying a = 3.333333333 + -0.6666666667x
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