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Simplifying 5(3a + 2) + 6 = 0 Reorder the terms: 5(2 + 3a) + 6 = 0 (2 * 5 + 3a * 5) + 6 = 0 (10 + 15a) + 6 = 0 Reorder the terms: 10 + 6 + 15a = 0 Combine like terms: 10 + 6 = 16 16 + 15a = 0 Solving 16 + 15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 15a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 15a = 0 + -16 15a = 0 + -16 Combine like terms: 0 + -16 = -16 15a = -16 Divide each side by '15'. a = -1.066666667 Simplifying a = -1.066666667
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