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Simplifying 2(4 + 2a + 3) = 6a Reorder the terms: 2(4 + 3 + 2a) = 6a Combine like terms: 4 + 3 = 7 2(7 + 2a) = 6a (7 * 2 + 2a * 2) = 6a (14 + 4a) = 6a Solving 14 + 4a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 14 + 4a + -6a = 6a + -6a Combine like terms: 4a + -6a = -2a 14 + -2a = 6a + -6a Combine like terms: 6a + -6a = 0 14 + -2a = 0 Add '-14' to each side of the equation. 14 + -14 + -2a = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 0 + -14 -2a = 0 + -14 Combine like terms: 0 + -14 = -14 -2a = -14 Divide each side by '-2'. a = 7 Simplifying a = 7
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