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Simplifying 6(a + 2) * 3 = 3(10 + -3a) Reorder the terms: 6(2 + a) * 3 = 3(10 + -3a) Reorder the terms for easier multiplication: 6 * 3(2 + a) = 3(10 + -3a) Multiply 6 * 3 18(2 + a) = 3(10 + -3a) (2 * 18 + a * 18) = 3(10 + -3a) (36 + 18a) = 3(10 + -3a) 36 + 18a = (10 * 3 + -3a * 3) 36 + 18a = (30 + -9a) Solving 36 + 18a = 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. 36 + 18a + 9a = 30 + -9a + 9a Combine like terms: 18a + 9a = 27a 36 + 27a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 36 + 27a = 30 + 0 36 + 27a = 30 Add '-36' to each side of the equation. 36 + -36 + 27a = 30 + -36 Combine like terms: 36 + -36 = 0 0 + 27a = 30 + -36 27a = 30 + -36 Combine like terms: 30 + -36 = -6 27a = -6 Divide each side by '27'. a = -0.2222222222 Simplifying a = -0.2222222222
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