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Simplifying 3(2a + 4) = 42 Reorder the terms: 3(4 + 2a) = 42 (4 * 3 + 2a * 3) = 42 (12 + 6a) = 42 Solving 12 + 6a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6a = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6a = 42 + -12 6a = 42 + -12 Combine like terms: 42 + -12 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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