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Simplifying 3(5a + -6) = 21 + 9a Reorder the terms: 3(-6 + 5a) = 21 + 9a (-6 * 3 + 5a * 3) = 21 + 9a (-18 + 15a) = 21 + 9a Solving -18 + 15a = 21 + 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 = 21 + 9a + -9a Combine like terms: 15a + -9a = 6a -18 + 6a = 21 + 9a + -9a Combine like terms: 9a + -9a = 0 -18 + 6a = 21 + 0 -18 + 6a = 21 Add '18' to each side of the equation. -18 + 18 + 6a = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 21 + 18 6a = 21 + 18 Combine like terms: 21 + 18 = 39 6a = 39 Divide each side by '6'. a = 6.5 Simplifying a = 6.5
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