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Simplifying 3a + 7b = a + 4b Solving 3a + 7b = a + 4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 3a + -1a + 7b = a + -1a + 4b Combine like terms: 3a + -1a = 2a 2a + 7b = a + -1a + 4b Combine like terms: a + -1a = 0 2a + 7b = 0 + 4b 2a + 7b = 4b Add '-7b' to each side of the equation. 2a + 7b + -7b = 4b + -7b Combine like terms: 7b + -7b = 0 2a + 0 = 4b + -7b 2a = 4b + -7b Combine like terms: 4b + -7b = -3b 2a = -3b Divide each side by '2'. a = -1.5b Simplifying a = -1.5b
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