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Simplifying 2b + 14a + 4b + 6a = 52a Reorder the terms: 14a + 6a + 2b + 4b = 52a Combine like terms: 14a + 6a = 20a 20a + 2b + 4b = 52a Combine like terms: 2b + 4b = 6b 20a + 6b = 52a Solving 20a + 6b = 52a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-52a' to each side of the equation. 20a + -52a + 6b = 52a + -52a Combine like terms: 20a + -52a = -32a -32a + 6b = 52a + -52a Combine like terms: 52a + -52a = 0 -32a + 6b = 0 Add '-6b' to each side of the equation. -32a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 -32a + 0 = 0 + -6b -32a = 0 + -6b Remove the zero: -32a = -6b Divide each side by '-32'. a = 0.1875b Simplifying a = 0.1875b
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