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Simplifying 0.05a + 0.33a + -0.67a + 0.38 = 0.67 Reorder the terms: 0.38 + 0.05a + 0.33a + -0.67a = 0.67 Combine like terms: 0.05a + 0.33a = 0.38a 0.38 + 0.38a + -0.67a = 0.67 Combine like terms: 0.38a + -0.67a = -0.29a 0.38 + -0.29a = 0.67 Solving 0.38 + -0.29a = 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 + -0.29a = 0.67 + -0.38 Combine like terms: 0.38 + -0.38 = 0.00 0.00 + -0.29a = 0.67 + -0.38 -0.29a = 0.67 + -0.38 Combine like terms: 0.67 + -0.38 = 0.29 -0.29a = 0.29 Divide each side by '-0.29'. a = -1 Simplifying a = -1
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