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Simplifying 0.75a + -0.167 = 0.667a + 0.25 Reorder the terms: -0.167 + 0.75a = 0.667a + 0.25 Reorder the terms: -0.167 + 0.75a = 0.25 + 0.667a Solving -0.167 + 0.75a = 0.25 + 0.667a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.667a' to each side of the equation. -0.167 + 0.75a + -0.667a = 0.25 + 0.667a + -0.667a Combine like terms: 0.75a + -0.667a = 0.083a -0.167 + 0.083a = 0.25 + 0.667a + -0.667a Combine like terms: 0.667a + -0.667a = 0.000 -0.167 + 0.083a = 0.25 + 0.000 -0.167 + 0.083a = 0.25 Add '0.167' to each side of the equation. -0.167 + 0.167 + 0.083a = 0.25 + 0.167 Combine like terms: -0.167 + 0.167 = 0.000 0.000 + 0.083a = 0.25 + 0.167 0.083a = 0.25 + 0.167 Combine like terms: 0.25 + 0.167 = 0.417 0.083a = 0.417 Divide each side by '0.083'. a = 5.024096386 Simplifying a = 5.024096386
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