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Simplifying 8(3a + 6) = 9(2a + -3) + -9 Reorder the terms: 8(6 + 3a) = 9(2a + -3) + -9 (6 * 8 + 3a * 8) = 9(2a + -3) + -9 (48 + 24a) = 9(2a + -3) + -9 Reorder the terms: 48 + 24a = 9(-3 + 2a) + -9 48 + 24a = (-3 * 9 + 2a * 9) + -9 48 + 24a = (-27 + 18a) + -9 Reorder the terms: 48 + 24a = -27 + -9 + 18a Combine like terms: -27 + -9 = -36 48 + 24a = -36 + 18a Solving 48 + 24a = -36 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 48 + 24a + -18a = -36 + 18a + -18a Combine like terms: 24a + -18a = 6a 48 + 6a = -36 + 18a + -18a Combine like terms: 18a + -18a = 0 48 + 6a = -36 + 0 48 + 6a = -36 Add '-48' to each side of the equation. 48 + -48 + 6a = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 6a = -36 + -48 6a = -36 + -48 Combine like terms: -36 + -48 = -84 6a = -84 Divide each side by '6'. a = -14 Simplifying a = -14
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