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Simplifying 8 * 3a + 6 = 9 * 2a + -4 Multiply 8 * 3 24a + 6 = 9 * 2a + -4 Reorder the terms: 6 + 24a = 9 * 2a + -4 Multiply 9 * 2 6 + 24a = 18a + -4 Reorder the terms: 6 + 24a = -4 + 18a Solving 6 + 24a = -4 + 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. 6 + 24a + -18a = -4 + 18a + -18a Combine like terms: 24a + -18a = 6a 6 + 6a = -4 + 18a + -18a Combine like terms: 18a + -18a = 0 6 + 6a = -4 + 0 6 + 6a = -4 Add '-6' to each side of the equation. 6 + -6 + 6a = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 6a = -4 + -6 6a = -4 + -6 Combine like terms: -4 + -6 = -10 6a = -10 Divide each side by '6'. a = -1.666666667 Simplifying a = -1.666666667
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