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Simplifying 8(3a + 6) = 9(18a + -36) Reorder the terms: 8(6 + 3a) = 9(18a + -36) (6 * 8 + 3a * 8) = 9(18a + -36) (48 + 24a) = 9(18a + -36) Reorder the terms: 48 + 24a = 9(-36 + 18a) 48 + 24a = (-36 * 9 + 18a * 9) 48 + 24a = (-324 + 162a) Solving 48 + 24a = -324 + 162a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-162a' to each side of the equation. 48 + 24a + -162a = -324 + 162a + -162a Combine like terms: 24a + -162a = -138a 48 + -138a = -324 + 162a + -162a Combine like terms: 162a + -162a = 0 48 + -138a = -324 + 0 48 + -138a = -324 Add '-48' to each side of the equation. 48 + -48 + -138a = -324 + -48 Combine like terms: 48 + -48 = 0 0 + -138a = -324 + -48 -138a = -324 + -48 Combine like terms: -324 + -48 = -372 -138a = -372 Divide each side by '-138'. a = 2.695652174 Simplifying a = 2.695652174
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