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Simplifying 6 + 6(1 + 7a) = 306 6 + (1 * 6 + 7a * 6) = 306 6 + (6 + 42a) = 306 Combine like terms: 6 + 6 = 12 12 + 42a = 306 Solving 12 + 42a = 306 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 + 42a = 306 + -12 Combine like terms: 12 + -12 = 0 0 + 42a = 306 + -12 42a = 306 + -12 Combine like terms: 306 + -12 = 294 42a = 294 Divide each side by '42'. a = 7 Simplifying a = 7
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