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Simplifying 3a + 1b = 2a + 2b + 20 Reorder the terms: 3a + 1b = 20 + 2a + 2b Solving 3a + 1b = 20 + 2a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 3a + -2a + 1b = 20 + 2a + -2a + 2b Combine like terms: 3a + -2a = 1a 1a + 1b = 20 + 2a + -2a + 2b Combine like terms: 2a + -2a = 0 1a + 1b = 20 + 0 + 2b 1a + 1b = 20 + 2b Add '-1b' to each side of the equation. 1a + 1b + -1b = 20 + 2b + -1b Combine like terms: 1b + -1b = 0 1a + 0 = 20 + 2b + -1b 1a = 20 + 2b + -1b Combine like terms: 2b + -1b = 1b 1a = 20 + 1b Divide each side by '1'. a = 20 + 1b Simplifying a = 20 + 1b
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