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Simplifying 2(3a + 6) = 4(3 + -7a) + 6a Reorder the terms: 2(6 + 3a) = 4(3 + -7a) + 6a (6 * 2 + 3a * 2) = 4(3 + -7a) + 6a (12 + 6a) = 4(3 + -7a) + 6a 12 + 6a = (3 * 4 + -7a * 4) + 6a 12 + 6a = (12 + -28a) + 6a Combine like terms: -28a + 6a = -22a 12 + 6a = 12 + -22a Add '-12' to each side of the equation. 12 + -12 + 6a = 12 + -12 + -22a Combine like terms: 12 + -12 = 0 0 + 6a = 12 + -12 + -22a 6a = 12 + -12 + -22a Combine like terms: 12 + -12 = 0 6a = 0 + -22a 6a = -22a Solving 6a = -22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22a' to each side of the equation. 6a + 22a = -22a + 22a Combine like terms: 6a + 22a = 28a 28a = -22a + 22a Combine like terms: -22a + 22a = 0 28a = 0 Divide each side by '28'. a = 0 Simplifying a = 0
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