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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 = -7a 15 + -7a = 30 + 9a + -9a Combine like terms: 9a + -9a = 0 15 + -7a = 30 + 0 15 + -7a = 30 Add '-15' to each side of the equation. 15 + -15 + -7a = 30 + -15 Combine like terms: 15 + -15 = 0 0 + -7a = 30 + -15 -7a = 30 + -15 Combine like terms: 30 + -15 = 15 -7a = 15 Divide each side by '-7'. a = -2.142857143 Simplifying a = -2.142857143
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