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Simplifying 5 + -6a = 3(3a + 5) Reorder the terms: 5 + -6a = 3(5 + 3a) 5 + -6a = (5 * 3 + 3a * 3) 5 + -6a = (15 + 9a) Solving 5 + -6a = 15 + 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. 5 + -6a + -9a = 15 + 9a + -9a Combine like terms: -6a + -9a = -15a 5 + -15a = 15 + 9a + -9a Combine like terms: 9a + -9a = 0 5 + -15a = 15 + 0 5 + -15a = 15 Add '-5' to each side of the equation. 5 + -5 + -15a = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -15a = 15 + -5 -15a = 15 + -5 Combine like terms: 15 + -5 = 10 -15a = 10 Divide each side by '-15'. a = -0.6666666667 Simplifying a = -0.6666666667
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