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Simplifying 7(a + 3) + -3(a + 2) = -9 Reorder the terms: 7(3 + a) + -3(a + 2) = -9 (3 * 7 + a * 7) + -3(a + 2) = -9 (21 + 7a) + -3(a + 2) = -9 Reorder the terms: 21 + 7a + -3(2 + a) = -9 21 + 7a + (2 * -3 + a * -3) = -9 21 + 7a + (-6 + -3a) = -9 Reorder the terms: 21 + -6 + 7a + -3a = -9 Combine like terms: 21 + -6 = 15 15 + 7a + -3a = -9 Combine like terms: 7a + -3a = 4a 15 + 4a = -9 Solving 15 + 4a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4a = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 4a = -9 + -15 4a = -9 + -15 Combine like terms: -9 + -15 = -24 4a = -24 Divide each side by '4'. a = -6 Simplifying a = -6
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