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Simplifying 0.5a + 0.33a + -0.67a + 0.38 = 0.67 Reorder the terms: 0.38 + 0.5a + 0.33a + -0.67a = 0.67 Combine like terms: 0.5a + 0.33a = 0.83a 0.38 + 0.83a + -0.67a = 0.67 Combine like terms: 0.83a + -0.67a = 0.16a 0.38 + 0.16a = 0.67 Solving 0.38 + 0.16a = 0.67 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.38' to each side of the equation. 0.38 + -0.38 + 0.16a = 0.67 + -0.38 Combine like terms: 0.38 + -0.38 = 0.00 0.00 + 0.16a = 0.67 + -0.38 0.16a = 0.67 + -0.38 Combine like terms: 0.67 + -0.38 = 0.29 0.16a = 0.29 Divide each side by '0.16'. a = 1.8125 Simplifying a = 1.8125
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