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Simplifying -3(2 + -1a) = 9(2a + 6) (2 * -3 + -1a * -3) = 9(2a + 6) (-6 + 3a) = 9(2a + 6) Reorder the terms: -6 + 3a = 9(6 + 2a) -6 + 3a = (6 * 9 + 2a * 9) -6 + 3a = (54 + 18a) Solving -6 + 3a = 54 + 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. -6 + 3a + -18a = 54 + 18a + -18a Combine like terms: 3a + -18a = -15a -6 + -15a = 54 + 18a + -18a Combine like terms: 18a + -18a = 0 -6 + -15a = 54 + 0 -6 + -15a = 54 Add '6' to each side of the equation. -6 + 6 + -15a = 54 + 6 Combine like terms: -6 + 6 = 0 0 + -15a = 54 + 6 -15a = 54 + 6 Combine like terms: 54 + 6 = 60 -15a = 60 Divide each side by '-15'. a = -4 Simplifying a = -4
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