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Simplifying 3(2a + 7) = 5a + 22 Reorder the terms: 3(7 + 2a) = 5a + 22 (7 * 3 + 2a * 3) = 5a + 22 (21 + 6a) = 5a + 22 Reorder the terms: 21 + 6a = 22 + 5a Solving 21 + 6a = 22 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 21 + 6a + -5a = 22 + 5a + -5a Combine like terms: 6a + -5a = 1a 21 + 1a = 22 + 5a + -5a Combine like terms: 5a + -5a = 0 21 + 1a = 22 + 0 21 + 1a = 22 Add '-21' to each side of the equation. 21 + -21 + 1a = 22 + -21 Combine like terms: 21 + -21 = 0 0 + 1a = 22 + -21 1a = 22 + -21 Combine like terms: 22 + -21 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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