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Simplifying 4a + 3a + -1b = 2a + a + 4 Combine like terms: 4a + 3a = 7a 7a + -1b = 2a + a + 4 Reorder the terms: 7a + -1b = 4 + 2a + a Combine like terms: 2a + a = 3a 7a + -1b = 4 + 3a Solving 7a + -1b = 4 + 3a 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. 7a + -3a + -1b = 4 + 3a + -3a Combine like terms: 7a + -3a = 4a 4a + -1b = 4 + 3a + -3a Combine like terms: 3a + -3a = 0 4a + -1b = 4 + 0 4a + -1b = 4 Add 'b' to each side of the equation. 4a + -1b + b = 4 + b Combine like terms: -1b + b = 0 4a + 0 = 4 + b 4a = 4 + b Divide each side by '4'. a = 1 + 0.25b Simplifying a = 1 + 0.25b
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