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Simplifying 5(a + 3) + 9 = 3(a + -2) + 6 Reorder the terms: 5(3 + a) + 9 = 3(a + -2) + 6 (3 * 5 + a * 5) + 9 = 3(a + -2) + 6 (15 + 5a) + 9 = 3(a + -2) + 6 Reorder the terms: 15 + 9 + 5a = 3(a + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5a = 3(a + -2) + 6 Reorder the terms: 24 + 5a = 3(-2 + a) + 6 24 + 5a = (-2 * 3 + a * 3) + 6 24 + 5a = (-6 + 3a) + 6 Reorder the terms: 24 + 5a = -6 + 6 + 3a Combine like terms: -6 + 6 = 0 24 + 5a = 0 + 3a 24 + 5a = 3a Solving 24 + 5a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 24 + 5a + -3a = 3a + -3a Combine like terms: 5a + -3a = 2a 24 + 2a = 3a + -3a Combine like terms: 3a + -3a = 0 24 + 2a = 0 Add '-24' to each side of the equation. 24 + -24 + 2a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2a = 0 + -24 2a = 0 + -24 Combine like terms: 0 + -24 = -24 2a = -24 Divide each side by '2'. a = -12 Simplifying a = -12
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