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Simplifying 3(7a + 10) + -9a + -22 = 32 Reorder the terms: 3(10 + 7a) + -9a + -22 = 32 (10 * 3 + 7a * 3) + -9a + -22 = 32 (30 + 21a) + -9a + -22 = 32 Reorder the terms: 30 + -22 + 21a + -9a = 32 Combine like terms: 30 + -22 = 8 8 + 21a + -9a = 32 Combine like terms: 21a + -9a = 12a 8 + 12a = 32 Solving 8 + 12a = 32 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12a = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 12a = 32 + -8 12a = 32 + -8 Combine like terms: 32 + -8 = 24 12a = 24 Divide each side by '12'. a = 2 Simplifying a = 2
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