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Simplifying -3(6 + -5a) = 9a + 24 (6 * -3 + -5a * -3) = 9a + 24 (-18 + 15a) = 9a + 24 Reorder the terms: -18 + 15a = 24 + 9a Solving -18 + 15a = 24 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -18 + 15a + -9a = 24 + 9a + -9a Combine like terms: 15a + -9a = 6a -18 + 6a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 -18 + 6a = 24 + 0 -18 + 6a = 24 Add '18' to each side of the equation. -18 + 18 + 6a = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 24 + 18 6a = 24 + 18 Combine like terms: 24 + 18 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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