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Simplifying 7a + 8b = 6a + 5b Solving 7a + 8b = 6a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7a + -6a + 8b = 6a + -6a + 5b Combine like terms: 7a + -6a = 1a 1a + 8b = 6a + -6a + 5b Combine like terms: 6a + -6a = 0 1a + 8b = 0 + 5b 1a + 8b = 5b Add '-8b' to each side of the equation. 1a + 8b + -8b = 5b + -8b Combine like terms: 8b + -8b = 0 1a + 0 = 5b + -8b 1a = 5b + -8b Combine like terms: 5b + -8b = -3b 1a = -3b Divide each side by '1'. a = -3b Simplifying a = -3b
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