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Simplifying 7a + 29 = 42b + 22 Reorder the terms: 29 + 7a = 42b + 22 Reorder the terms: 29 + 7a = 22 + 42b Solving 29 + 7a = 22 + 42b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 7a = 22 + -29 + 42b Combine like terms: 29 + -29 = 0 0 + 7a = 22 + -29 + 42b 7a = 22 + -29 + 42b Combine like terms: 22 + -29 = -7 7a = -7 + 42b Divide each side by '7'. a = -1 + 6b Simplifying a = -1 + 6b
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