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Simplifying -5a + b = 6a + -38 Reorder the terms: -5a + b = -38 + 6a Solving -5a + b = -38 + 6a 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. -5a + -6a + b = -38 + 6a + -6a Combine like terms: -5a + -6a = -11a -11a + b = -38 + 6a + -6a Combine like terms: 6a + -6a = 0 -11a + b = -38 + 0 -11a + b = -38 Add '-1b' to each side of the equation. -11a + b + -1b = -38 + -1b Combine like terms: b + -1b = 0 -11a + 0 = -38 + -1b -11a = -38 + -1b Divide each side by '-11'. a = 3.454545455 + 0.09090909091b Simplifying a = 3.454545455 + 0.09090909091b
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