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Simplifying 2(3a + 6) = 3(-4a + 12) Reorder the terms: 2(6 + 3a) = 3(-4a + 12) (6 * 2 + 3a * 2) = 3(-4a + 12) (12 + 6a) = 3(-4a + 12) Reorder the terms: 12 + 6a = 3(12 + -4a) 12 + 6a = (12 * 3 + -4a * 3) 12 + 6a = (36 + -12a) Solving 12 + 6a = 36 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 12 + 6a + 12a = 36 + -12a + 12a Combine like terms: 6a + 12a = 18a 12 + 18a = 36 + -12a + 12a Combine like terms: -12a + 12a = 0 12 + 18a = 36 + 0 12 + 18a = 36 Add '-12' to each side of the equation. 12 + -12 + 18a = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 18a = 36 + -12 18a = 36 + -12 Combine like terms: 36 + -12 = 24 18a = 24 Divide each side by '18'. a = 1.333333333 Simplifying a = 1.333333333
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