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Simplifying 3(2a + 3) = -2(2a + 7) Reorder the terms: 3(3 + 2a) = -2(2a + 7) (3 * 3 + 2a * 3) = -2(2a + 7) (9 + 6a) = -2(2a + 7) Reorder the terms: 9 + 6a = -2(7 + 2a) 9 + 6a = (7 * -2 + 2a * -2) 9 + 6a = (-14 + -4a) Solving 9 + 6a = -14 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 9 + 6a + 4a = -14 + -4a + 4a Combine like terms: 6a + 4a = 10a 9 + 10a = -14 + -4a + 4a Combine like terms: -4a + 4a = 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 = -23 10a = -23 Divide each side by '10'. a = -2.3 Simplifying a = -2.3
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