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Simplifying 2(a + 6) + 3 = 3(10 + -3a) Reorder the terms: 2(6 + a) + 3 = 3(10 + -3a) (6 * 2 + a * 2) + 3 = 3(10 + -3a) (12 + 2a) + 3 = 3(10 + -3a) Reorder the terms: 12 + 3 + 2a = 3(10 + -3a) Combine like terms: 12 + 3 = 15 15 + 2a = 3(10 + -3a) 15 + 2a = (10 * 3 + -3a * 3) 15 + 2a = (30 + -9a) Solving 15 + 2a = 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. 15 + 2a + 9a = 30 + -9a + 9a Combine like terms: 2a + 9a = 11a 15 + 11a = 30 + -9a + 9a Combine like terms: -9a + 9a = 0 15 + 11a = 30 + 0 15 + 11a = 30 Add '-15' to each side of the equation. 15 + -15 + 11a = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 11a = 30 + -15 11a = 30 + -15 Combine like terms: 30 + -15 = 15 11a = 15 Divide each side by '11'. a = 1.363636364 Simplifying a = 1.363636364
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