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Simplifying 5a + -2b + 3a + -4b = 2a + -2b Reorder the terms: 5a + 3a + -2b + -4b = 2a + -2b Combine like terms: 5a + 3a = 8a 8a + -2b + -4b = 2a + -2b Combine like terms: -2b + -4b = -6b 8a + -6b = 2a + -2b Solving 8a + -6b = 2a + -2b 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. 8a + -2a + -6b = 2a + -2a + -2b Combine like terms: 8a + -2a = 6a 6a + -6b = 2a + -2a + -2b Combine like terms: 2a + -2a = 0 6a + -6b = 0 + -2b 6a + -6b = -2b Add '6b' to each side of the equation. 6a + -6b + 6b = -2b + 6b Combine like terms: -6b + 6b = 0 6a + 0 = -2b + 6b 6a = -2b + 6b Combine like terms: -2b + 6b = 4b 6a = 4b Divide each side by '6'. a = 0.6666666667b Simplifying a = 0.6666666667b
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