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Simplifying 3a + -1b = 5b + -1a Reorder the terms: 3a + -1b = -1a + 5b Solving 3a + -1b = -1a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3a + a + -1b = -1a + a + 5b Combine like terms: 3a + a = 4a 4a + -1b = -1a + a + 5b Combine like terms: -1a + a = 0 4a + -1b = 0 + 5b 4a + -1b = 5b Add 'b' to each side of the equation. 4a + -1b + b = 5b + b Combine like terms: -1b + b = 0 4a + 0 = 5b + b 4a = 5b + b Combine like terms: 5b + b = 6b 4a = 6b Divide each side by '4'. a = 1.5b Simplifying a = 1.5b
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