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Simplifying 3(a + 3) = -2(a + 8) Reorder the terms: 3(3 + a) = -2(a + 8) (3 * 3 + a * 3) = -2(a + 8) (9 + 3a) = -2(a + 8) Reorder the terms: 9 + 3a = -2(8 + a) 9 + 3a = (8 * -2 + a * -2) 9 + 3a = (-16 + -2a) Solving 9 + 3a = -16 + -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 + 3a + 2a = -16 + -2a + 2a Combine like terms: 3a + 2a = 5a 9 + 5a = -16 + -2a + 2a Combine like terms: -2a + 2a = 0 9 + 5a = -16 + 0 9 + 5a = -16 Add '-9' to each side of the equation. 9 + -9 + 5a = -16 + -9 Combine like terms: 9 + -9 = 0 0 + 5a = -16 + -9 5a = -16 + -9 Combine like terms: -16 + -9 = -25 5a = -25 Divide each side by '5'. a = -5 Simplifying a = -5
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