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Simplifying 4a + -3(a + -2) = 2(3a + -2) Reorder the terms: 4a + -3(-2 + a) = 2(3a + -2) 4a + (-2 * -3 + a * -3) = 2(3a + -2) 4a + (6 + -3a) = 2(3a + -2) Reorder the terms: 6 + 4a + -3a = 2(3a + -2) Combine like terms: 4a + -3a = 1a 6 + 1a = 2(3a + -2) Reorder the terms: 6 + 1a = 2(-2 + 3a) 6 + 1a = (-2 * 2 + 3a * 2) 6 + 1a = (-4 + 6a) Solving 6 + 1a = -4 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 6 + 1a + -6a = -4 + 6a + -6a Combine like terms: 1a + -6a = -5a 6 + -5a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 6 + -5a = -4 + 0 6 + -5a = -4 Add '-6' to each side of the equation. 6 + -6 + -5a = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -5a = -4 + -6 -5a = -4 + -6 Combine like terms: -4 + -6 = -10 -5a = -10 Divide each side by '-5'. a = 2 Simplifying a = 2
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