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Simplifying 2(3a + 3) + 3(2a + 1) = 2(a + 7) Reorder the terms: 2(3 + 3a) + 3(2a + 1) = 2(a + 7) (3 * 2 + 3a * 2) + 3(2a + 1) = 2(a + 7) (6 + 6a) + 3(2a + 1) = 2(a + 7) Reorder the terms: 6 + 6a + 3(1 + 2a) = 2(a + 7) 6 + 6a + (1 * 3 + 2a * 3) = 2(a + 7) 6 + 6a + (3 + 6a) = 2(a + 7) Reorder the terms: 6 + 3 + 6a + 6a = 2(a + 7) Combine like terms: 6 + 3 = 9 9 + 6a + 6a = 2(a + 7) Combine like terms: 6a + 6a = 12a 9 + 12a = 2(a + 7) Reorder the terms: 9 + 12a = 2(7 + a) 9 + 12a = (7 * 2 + a * 2) 9 + 12a = (14 + 2a) Solving 9 + 12a = 14 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 9 + 12a + -2a = 14 + 2a + -2a Combine like terms: 12a + -2a = 10a 9 + 10a = 14 + 2a + -2a Combine like terms: 2a + -2a = 0 9 + 10a = 14 + 0 9 + 10a = 14 Add '-9' to each side of the equation. 9 + -9 + 10a = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 10a = 14 + -9 10a = 14 + -9 Combine like terms: 14 + -9 = 5 10a = 5 Divide each side by '10'. a = 0.5 Simplifying a = 0.5
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