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Simplifying -3(6 + -5a) = 12a + 9 (6 * -3 + -5a * -3) = 12a + 9 (-18 + 15a) = 12a + 9 Reorder the terms: -18 + 15a = 9 + 12a Solving -18 + 15a = 9 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -18 + 15a + -12a = 9 + 12a + -12a Combine like terms: 15a + -12a = 3a -18 + 3a = 9 + 12a + -12a Combine like terms: 12a + -12a = 0 -18 + 3a = 9 + 0 -18 + 3a = 9 Add '18' to each side of the equation. -18 + 18 + 3a = 9 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = 9 + 18 3a = 9 + 18 Combine like terms: 9 + 18 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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