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Simplifying 6(2a + -3) = 9(a + 4) Reorder the terms: 6(-3 + 2a) = 9(a + 4) (-3 * 6 + 2a * 6) = 9(a + 4) (-18 + 12a) = 9(a + 4) Reorder the terms: -18 + 12a = 9(4 + a) -18 + 12a = (4 * 9 + a * 9) -18 + 12a = (36 + 9a) Solving -18 + 12a = 36 + 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 + 12a + -9a = 36 + 9a + -9a Combine like terms: 12a + -9a = 3a -18 + 3a = 36 + 9a + -9a Combine like terms: 9a + -9a = 0 -18 + 3a = 36 + 0 -18 + 3a = 36 Add '18' to each side of the equation. -18 + 18 + 3a = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 3a = 36 + 18 3a = 36 + 18 Combine like terms: 36 + 18 = 54 3a = 54 Divide each side by '3'. a = 18 Simplifying a = 18
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