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Simplifying 6(9 + 2) + 3 = 3(10 + -3a) Combine like terms: 9 + 2 = 11 6(11) + 3 = 3(10 + -3a) Multiply 6 * 11 66 + 3 = 3(10 + -3a) Combine like terms: 66 + 3 = 69 69 = 3(10 + -3a) 69 = (10 * 3 + -3a * 3) 69 = (30 + -9a) Solving 69 = 30 + -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. 69 + 9a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 69 + 9a = 30 + 0 69 + 9a = 30 Add '-69' to each side of the equation. 69 + -69 + 9a = 30 + -69 Combine like terms: 69 + -69 = 0 0 + 9a = 30 + -69 9a = 30 + -69 Combine like terms: 30 + -69 = -39 9a = -39 Divide each side by '9'. a = -4.333333333 Simplifying a = -4.333333333
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