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Simplifying 126 = 6(1 + 4a) + 6a 126 = (1 * 6 + 4a * 6) + 6a 126 = (6 + 24a) + 6a Combine like terms: 24a + 6a = 30a 126 = 6 + 30a Solving 126 = 6 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 126 + -30a = 6 + 30a + -30a Combine like terms: 30a + -30a = 0 126 + -30a = 6 + 0 126 + -30a = 6 Add '-126' to each side of the equation. 126 + -126 + -30a = 6 + -126 Combine like terms: 126 + -126 = 0 0 + -30a = 6 + -126 -30a = 6 + -126 Combine like terms: 6 + -126 = -120 -30a = -120 Divide each side by '-30'. a = 4 Simplifying a = 4
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