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Simplifying 7(4a + 2) = 42 Reorder the terms: 7(2 + 4a) = 42 (2 * 7 + 4a * 7) = 42 (14 + 28a) = 42 Solving 14 + 28a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 28a = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 28a = 42 + -14 28a = 42 + -14 Combine like terms: 42 + -14 = 28 28a = 28 Divide each side by '28'. a = 1 Simplifying a = 1
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