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Simplifying 3a + 5b = 7a + 2b Solving 3a + 5b = 7a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 3a + -7a + 5b = 7a + -7a + 2b Combine like terms: 3a + -7a = -4a -4a + 5b = 7a + -7a + 2b Combine like terms: 7a + -7a = 0 -4a + 5b = 0 + 2b -4a + 5b = 2b Add '-5b' to each side of the equation. -4a + 5b + -5b = 2b + -5b Combine like terms: 5b + -5b = 0 -4a + 0 = 2b + -5b -4a = 2b + -5b Combine like terms: 2b + -5b = -3b -4a = -3b Divide each side by '-4'. a = 0.75b Simplifying a = 0.75b
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