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Simplifying 0.75a + 0.50 = 0.33a + 0.33 Reorder the terms: 0.50 + 0.75a = 0.33a + 0.33 Reorder the terms: 0.50 + 0.75a = 0.33 + 0.33a Solving 0.50 + 0.75a = 0.33 + 0.33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.33a' to each side of the equation. 0.50 + 0.75a + -0.33a = 0.33 + 0.33a + -0.33a Combine like terms: 0.75a + -0.33a = 0.42a 0.50 + 0.42a = 0.33 + 0.33a + -0.33a Combine like terms: 0.33a + -0.33a = 0.00 0.50 + 0.42a = 0.33 + 0.00 0.50 + 0.42a = 0.33 Add '-0.50' to each side of the equation. 0.50 + -0.50 + 0.42a = 0.33 + -0.50 Combine like terms: 0.50 + -0.50 = 0.00 0.00 + 0.42a = 0.33 + -0.50 0.42a = 0.33 + -0.50 Combine like terms: 0.33 + -0.50 = -0.17 0.42a = -0.17 Divide each side by '0.42'. a = -0.4047619048 Simplifying a = -0.4047619048
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