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Simplifying 4(2a + 3) = 2(3a + -4) Reorder the terms: 4(3 + 2a) = 2(3a + -4) (3 * 4 + 2a * 4) = 2(3a + -4) (12 + 8a) = 2(3a + -4) Reorder the terms: 12 + 8a = 2(-4 + 3a) 12 + 8a = (-4 * 2 + 3a * 2) 12 + 8a = (-8 + 6a) Solving 12 + 8a = -8 + 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. 12 + 8a + -6a = -8 + 6a + -6a Combine like terms: 8a + -6a = 2a 12 + 2a = -8 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + 2a = -8 + 0 12 + 2a = -8 Add '-12' to each side of the equation. 12 + -12 + 2a = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = -8 + -12 2a = -8 + -12 Combine like terms: -8 + -12 = -20 2a = -20 Divide each side by '2'. a = -10 Simplifying a = -10
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