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Simplifying 6(2a + 3) + -4 = 4(a + 6) + 6 Reorder the terms: 6(3 + 2a) + -4 = 4(a + 6) + 6 (3 * 6 + 2a * 6) + -4 = 4(a + 6) + 6 (18 + 12a) + -4 = 4(a + 6) + 6 Reorder the terms: 18 + -4 + 12a = 4(a + 6) + 6 Combine like terms: 18 + -4 = 14 14 + 12a = 4(a + 6) + 6 Reorder the terms: 14 + 12a = 4(6 + a) + 6 14 + 12a = (6 * 4 + a * 4) + 6 14 + 12a = (24 + 4a) + 6 Reorder the terms: 14 + 12a = 24 + 6 + 4a Combine like terms: 24 + 6 = 30 14 + 12a = 30 + 4a Solving 14 + 12a = 30 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 14 + 12a + -4a = 30 + 4a + -4a Combine like terms: 12a + -4a = 8a 14 + 8a = 30 + 4a + -4a Combine like terms: 4a + -4a = 0 14 + 8a = 30 + 0 14 + 8a = 30 Add '-14' to each side of the equation. 14 + -14 + 8a = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8a = 30 + -14 8a = 30 + -14 Combine like terms: 30 + -14 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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