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Simplifying 8a + -2b = 5a + -3b Solving 8a + -2b = 5a + -3b 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. 8a + -5a + -2b = 5a + -5a + -3b Combine like terms: 8a + -5a = 3a 3a + -2b = 5a + -5a + -3b Combine like terms: 5a + -5a = 0 3a + -2b = 0 + -3b 3a + -2b = -3b Add '2b' to each side of the equation. 3a + -2b + 2b = -3b + 2b Combine like terms: -2b + 2b = 0 3a + 0 = -3b + 2b 3a = -3b + 2b Combine like terms: -3b + 2b = -1b 3a = -1b Divide each side by '3'. a = -0.3333333333b Simplifying a = -0.3333333333b
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