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Simplifying 4a + -2b = 3a + b Solving 4a + -2b = 3a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4a + -3a + -2b = 3a + -3a + b Combine like terms: 4a + -3a = 1a 1a + -2b = 3a + -3a + b Combine like terms: 3a + -3a = 0 1a + -2b = 0 + b 1a + -2b = b Add '2b' to each side of the equation. 1a + -2b + 2b = b + 2b Combine like terms: -2b + 2b = 0 1a + 0 = b + 2b 1a = b + 2b Combine like terms: b + 2b = 3b 1a = 3b Divide each side by '1'. a = 3b Simplifying a = 3b
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