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Simplifying 126 = 6a + -4(6 + -6a) 126 = 6a + (6 * -4 + -6a * -4) 126 = 6a + (-24 + 24a) Reorder the terms: 126 = -24 + 6a + 24a Combine like terms: 6a + 24a = 30a 126 = -24 + 30a Solving 126 = -24 + 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 = -24 + 30a + -30a Combine like terms: 30a + -30a = 0 126 + -30a = -24 + 0 126 + -30a = -24 Add '-126' to each side of the equation. 126 + -126 + -30a = -24 + -126 Combine like terms: 126 + -126 = 0 0 + -30a = -24 + -126 -30a = -24 + -126 Combine like terms: -24 + -126 = -150 -30a = -150 Divide each side by '-30'. a = 5 Simplifying a = 5
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