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Simplifying 3a + 2b = 29 + a + b Solving 3a + 2b = 29 + a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3a + -1a + 2b = 29 + a + -1a + b Combine like terms: 3a + -1a = 2a 2a + 2b = 29 + a + -1a + b Combine like terms: a + -1a = 0 2a + 2b = 29 + 0 + b 2a + 2b = 29 + b Add '-2b' to each side of the equation. 2a + 2b + -2b = 29 + b + -2b Combine like terms: 2b + -2b = 0 2a + 0 = 29 + b + -2b 2a = 29 + b + -2b Combine like terms: b + -2b = -1b 2a = 29 + -1b Divide each side by '2'. a = 14.5 + -0.5b Simplifying a = 14.5 + -0.5b
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