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Simplifying a + -1b = 5a + b Solving a + -1b = 5a + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. a + -5a + -1b = 5a + -5a + b Combine like terms: a + -5a = -4a -4a + -1b = 5a + -5a + b Combine like terms: 5a + -5a = 0 -4a + -1b = 0 + b -4a + -1b = b Add 'b' to each side of the equation. -4a + -1b + b = b + b Combine like terms: -1b + b = 0 -4a + 0 = b + b -4a = b + b Combine like terms: b + b = 2b -4a = 2b Divide each side by '-4'. a = -0.5b Simplifying a = -0.5b
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