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Simplifying 2a + 6b = 8a + -1b Solving 2a + 6b = 8a + -1b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2a + -8a + 6b = 8a + -8a + -1b Combine like terms: 2a + -8a = -6a -6a + 6b = 8a + -8a + -1b Combine like terms: 8a + -8a = 0 -6a + 6b = 0 + -1b -6a + 6b = -1b Add '-6b' to each side of the equation. -6a + 6b + -6b = -1b + -6b Combine like terms: 6b + -6b = 0 -6a + 0 = -1b + -6b -6a = -1b + -6b Combine like terms: -1b + -6b = -7b -6a = -7b Divide each side by '-6'. a = 1.166666667b Simplifying a = 1.166666667b
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