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