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Simplifying 9(6 + -2a) = 2(3 + -12a) (6 * 9 + -2a * 9) = 2(3 + -12a) (54 + -18a) = 2(3 + -12a) 54 + -18a = (3 * 2 + -12a * 2) 54 + -18a = (6 + -24a) Solving 54 + -18a = 6 + -24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24a' to each side of the equation. 54 + -18a + 24a = 6 + -24a + 24a Combine like terms: -18a + 24a = 6a 54 + 6a = 6 + -24a + 24a Combine like terms: -24a + 24a = 0 54 + 6a = 6 + 0 54 + 6a = 6 Add '-54' to each side of the equation. 54 + -54 + 6a = 6 + -54 Combine like terms: 54 + -54 = 0 0 + 6a = 6 + -54 6a = 6 + -54 Combine like terms: 6 + -54 = -48 6a = -48 Divide each side by '6'. a = -8 Simplifying a = -8
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