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Simplifying 8(3a + 6) = 9(a + -4) Reorder the terms: 8(6 + 3a) = 9(a + -4) (6 * 8 + 3a * 8) = 9(a + -4) (48 + 24a) = 9(a + -4) Reorder the terms: 48 + 24a = 9(-4 + a) 48 + 24a = (-4 * 9 + a * 9) 48 + 24a = (-36 + 9a) Solving 48 + 24a = -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. 48 + 24a + -9a = -36 + 9a + -9a Combine like terms: 24a + -9a = 15a 48 + 15a = -36 + 9a + -9a Combine like terms: 9a + -9a = 0 48 + 15a = -36 + 0 48 + 15a = -36 Add '-48' to each side of the equation. 48 + -48 + 15a = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 15a = -36 + -48 15a = -36 + -48 Combine like terms: -36 + -48 = -84 15a = -84 Divide each side by '15'. a = -5.6 Simplifying a = -5.6
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