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