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Simplifying 2(3a + 2) = 4(a + -3) Reorder the terms: 2(2 + 3a) = 4(a + -3) (2 * 2 + 3a * 2) = 4(a + -3) (4 + 6a) = 4(a + -3) Reorder the terms: 4 + 6a = 4(-3 + a) 4 + 6a = (-3 * 4 + a * 4) 4 + 6a = (-12 + 4a) Solving 4 + 6a = -12 + 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. 4 + 6a + -4a = -12 + 4a + -4a Combine like terms: 6a + -4a = 2a 4 + 2a = -12 + 4a + -4a Combine like terms: 4a + -4a = 0 4 + 2a = -12 + 0 4 + 2a = -12 Add '-4' to each side of the equation. 4 + -4 + 2a = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = -12 + -4 2a = -12 + -4 Combine like terms: -12 + -4 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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