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Simplifying 6a + 9 + -3a + 4(a + 5) = 0 Reorder the terms: 6a + 9 + -3a + 4(5 + a) = 0 6a + 9 + -3a + (5 * 4 + a * 4) = 0 6a + 9 + -3a + (20 + 4a) = 0 Reorder the terms: 9 + 20 + 6a + -3a + 4a = 0 Combine like terms: 9 + 20 = 29 29 + 6a + -3a + 4a = 0 Combine like terms: 6a + -3a = 3a 29 + 3a + 4a = 0 Combine like terms: 3a + 4a = 7a 29 + 7a = 0 Solving 29 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7a = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 7a = 0 + -29 7a = 0 + -29 Combine like terms: 0 + -29 = -29 7a = -29 Divide each side by '7'. a = -4.142857143 Simplifying a = -4.142857143
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