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Simplifying 2b + 5a = 10b + 1a Reorder the terms: 5a + 2b = 10b + 1a Reorder the terms: 5a + 2b = 1a + 10b Solving 5a + 2b = 1a + 10b 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. 5a + -1a + 2b = 1a + -1a + 10b Combine like terms: 5a + -1a = 4a 4a + 2b = 1a + -1a + 10b Combine like terms: 1a + -1a = 0 4a + 2b = 0 + 10b 4a + 2b = 10b Add '-2b' to each side of the equation. 4a + 2b + -2b = 10b + -2b Combine like terms: 2b + -2b = 0 4a + 0 = 10b + -2b 4a = 10b + -2b Combine like terms: 10b + -2b = 8b 4a = 8b Divide each side by '4'. a = 2b Simplifying a = 2b
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