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Simplifying 14(3a + 6) = 12(6 + -4a) + 12 Reorder the terms: 14(6 + 3a) = 12(6 + -4a) + 12 (6 * 14 + 3a * 14) = 12(6 + -4a) + 12 (84 + 42a) = 12(6 + -4a) + 12 84 + 42a = (6 * 12 + -4a * 12) + 12 84 + 42a = (72 + -48a) + 12 Reorder the terms: 84 + 42a = 72 + 12 + -48a Combine like terms: 72 + 12 = 84 84 + 42a = 84 + -48a Add '-84' to each side of the equation. 84 + -84 + 42a = 84 + -84 + -48a Combine like terms: 84 + -84 = 0 0 + 42a = 84 + -84 + -48a 42a = 84 + -84 + -48a Combine like terms: 84 + -84 = 0 42a = 0 + -48a 42a = -48a Solving 42a = -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. 42a + 48a = -48a + 48a Combine like terms: 42a + 48a = 90a 90a = -48a + 48a Combine like terms: -48a + 48a = 0 90a = 0 Divide each side by '90'. a = 0.0 Simplifying a = 0.0
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