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Simplifying 6(2a + 1) = 42 Reorder the terms: 6(1 + 2a) = 42 (1 * 6 + 2a * 6) = 42 (6 + 12a) = 42 Solving 6 + 12a = 42 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 12a = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 12a = 42 + -6 12a = 42 + -6 Combine like terms: 42 + -6 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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