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Simplifying 7a + 2b = 5a + -3b Solving 7a + 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. 7a + -5a + 2b = 5a + -5a + -3b Combine like terms: 7a + -5a = 2a 2a + 2b = 5a + -5a + -3b Combine like terms: 5a + -5a = 0 2a + 2b = 0 + -3b 2a + 2b = -3b Add '-2b' to each side of the equation. 2a + 2b + -2b = -3b + -2b Combine like terms: 2b + -2b = 0 2a + 0 = -3b + -2b 2a = -3b + -2b Combine like terms: -3b + -2b = -5b 2a = -5b Divide each side by '2'. a = -2.5b Simplifying a = -2.5b
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