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Simplifying 22 + 3a + 18 = 12a + 20 Reorder the terms: 22 + 18 + 3a = 12a + 20 Combine like terms: 22 + 18 = 40 40 + 3a = 12a + 20 Reorder the terms: 40 + 3a = 20 + 12a Solving 40 + 3a = 20 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 40 + 3a + -12a = 20 + 12a + -12a Combine like terms: 3a + -12a = -9a 40 + -9a = 20 + 12a + -12a Combine like terms: 12a + -12a = 0 40 + -9a = 20 + 0 40 + -9a = 20 Add '-40' to each side of the equation. 40 + -40 + -9a = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -9a = 20 + -40 -9a = 20 + -40 Combine like terms: 20 + -40 = -20 -9a = -20 Divide each side by '-9'. a = 2.222222222 Simplifying a = 2.222222222
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