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Simplifying 2a + 3b = a + -5b Solving 2a + 3b = a + -5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 2a + -1a + 3b = a + -1a + -5b Combine like terms: 2a + -1a = 1a 1a + 3b = a + -1a + -5b Combine like terms: a + -1a = 0 1a + 3b = 0 + -5b 1a + 3b = -5b Add '-3b' to each side of the equation. 1a + 3b + -3b = -5b + -3b Combine like terms: 3b + -3b = 0 1a + 0 = -5b + -3b 1a = -5b + -3b Combine like terms: -5b + -3b = -8b 1a = -8b Divide each side by '1'. a = -8b Simplifying a = -8b
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