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Simplifying 5a + 6g + -82f = 62a + -50g Reorder the terms: 5a + -82f + 6g = 62a + -50g Solving 5a + -82f + 6g = 62a + -50g Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-62a' to each side of the equation. 5a + -82f + -62a + 6g = 62a + -62a + -50g Reorder the terms: 5a + -62a + -82f + 6g = 62a + -62a + -50g Combine like terms: 5a + -62a = -57a -57a + -82f + 6g = 62a + -62a + -50g Combine like terms: 62a + -62a = 0 -57a + -82f + 6g = 0 + -50g -57a + -82f + 6g = -50g Add '82f' to each side of the equation. -57a + -82f + 82f + 6g = 82f + -50g Combine like terms: -82f + 82f = 0 -57a + 0 + 6g = 82f + -50g -57a + 6g = 82f + -50g Add '-6g' to each side of the equation. -57a + 6g + -6g = 82f + -50g + -6g Combine like terms: 6g + -6g = 0 -57a + 0 = 82f + -50g + -6g -57a = 82f + -50g + -6g Combine like terms: -50g + -6g = -56g -57a = 82f + -56g Divide each side by '-57'. a = -1.438596491f + 0.9824561404g Simplifying a = -1.438596491f + 0.9824561404g
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