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Simplifying 2(3a + 4) = 2a + 64 Reorder the terms: 2(4 + 3a) = 2a + 64 (4 * 2 + 3a * 2) = 2a + 64 (8 + 6a) = 2a + 64 Reorder the terms: 8 + 6a = 64 + 2a Solving 8 + 6a = 64 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 8 + 6a + -2a = 64 + 2a + -2a Combine like terms: 6a + -2a = 4a 8 + 4a = 64 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + 4a = 64 + 0 8 + 4a = 64 Add '-8' to each side of the equation. 8 + -8 + 4a = 64 + -8 Combine like terms: 8 + -8 = 0 0 + 4a = 64 + -8 4a = 64 + -8 Combine like terms: 64 + -8 = 56 4a = 56 Divide each side by '4'. a = 14 Simplifying a = 14
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