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Simplifying 3(a + 6) + -4 = 12a + 2(10 + 4a) Reorder the terms: 3(6 + a) + -4 = 12a + 2(10 + 4a) (6 * 3 + a * 3) + -4 = 12a + 2(10 + 4a) (18 + 3a) + -4 = 12a + 2(10 + 4a) Reorder the terms: 18 + -4 + 3a = 12a + 2(10 + 4a) Combine like terms: 18 + -4 = 14 14 + 3a = 12a + 2(10 + 4a) 14 + 3a = 12a + (10 * 2 + 4a * 2) 14 + 3a = 12a + (20 + 8a) Reorder the terms: 14 + 3a = 20 + 12a + 8a Combine like terms: 12a + 8a = 20a 14 + 3a = 20 + 20a Solving 14 + 3a = 20 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. 14 + 3a + -20a = 20 + 20a + -20a Combine like terms: 3a + -20a = -17a 14 + -17a = 20 + 20a + -20a Combine like terms: 20a + -20a = 0 14 + -17a = 20 + 0 14 + -17a = 20 Add '-14' to each side of the equation. 14 + -14 + -17a = 20 + -14 Combine like terms: 14 + -14 = 0 0 + -17a = 20 + -14 -17a = 20 + -14 Combine like terms: 20 + -14 = 6 -17a = 6 Divide each side by '-17'. a = -0.3529411765 Simplifying a = -0.3529411765
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