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Simplifying 7 + 3(1 + 4a) = 38 7 + (1 * 3 + 4a * 3) = 38 7 + (3 + 12a) = 38 Combine like terms: 7 + 3 = 10 10 + 12a = 38 Solving 10 + 12a = 38 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12a = 38 + -10 Combine like terms: 10 + -10 = 0 0 + 12a = 38 + -10 12a = 38 + -10 Combine like terms: 38 + -10 = 28 12a = 28 Divide each side by '12'. a = 2.333333333 Simplifying a = 2.333333333
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