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Simplifying 9(3a + 6) = 9(2a + -4) Reorder the terms: 9(6 + 3a) = 9(2a + -4) (6 * 9 + 3a * 9) = 9(2a + -4) (54 + 27a) = 9(2a + -4) Reorder the terms: 54 + 27a = 9(-4 + 2a) 54 + 27a = (-4 * 9 + 2a * 9) 54 + 27a = (-36 + 18a) Solving 54 + 27a = -36 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 54 + 27a + -18a = -36 + 18a + -18a Combine like terms: 27a + -18a = 9a 54 + 9a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 54 + 9a = -36 + 0 54 + 9a = -36 Add '-54' to each side of the equation. 54 + -54 + 9a = -36 + -54 Combine like terms: 54 + -54 = 0 0 + 9a = -36 + -54 9a = -36 + -54 Combine like terms: -36 + -54 = -90 9a = -90 Divide each side by '9'. a = -10 Simplifying a = -10
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