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Simplifying 3a + 4b = 7b + -1a Reorder the terms: 3a + 4b = -1a + 7b Solving 3a + 4b = -1a + 7b 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 + 4b = -1a + a + 7b Combine like terms: 3a + a = 4a 4a + 4b = -1a + a + 7b Combine like terms: -1a + a = 0 4a + 4b = 0 + 7b 4a + 4b = 7b Add '-4b' to each side of the equation. 4a + 4b + -4b = 7b + -4b Combine like terms: 4b + -4b = 0 4a + 0 = 7b + -4b 4a = 7b + -4b Combine like terms: 7b + -4b = 3b 4a = 3b Divide each side by '4'. a = 0.75b Simplifying a = 0.75b
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