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Simplifying 0.33a + -0.25 = 0.83a + -1.5 Reorder the terms: -0.25 + 0.33a = 0.83a + -1.5 Reorder the terms: -0.25 + 0.33a = -1.5 + 0.83a Solving -0.25 + 0.33a = -1.5 + 0.83a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.83a' to each side of the equation. -0.25 + 0.33a + -0.83a = -1.5 + 0.83a + -0.83a Combine like terms: 0.33a + -0.83a = -0.5a -0.25 + -0.5a = -1.5 + 0.83a + -0.83a Combine like terms: 0.83a + -0.83a = 0.00 -0.25 + -0.5a = -1.5 + 0.00 -0.25 + -0.5a = -1.5 Add '0.25' to each side of the equation. -0.25 + 0.25 + -0.5a = -1.5 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.5a = -1.5 + 0.25 -0.5a = -1.5 + 0.25 Combine like terms: -1.5 + 0.25 = -1.25 -0.5a = -1.25 Divide each side by '-0.5'. a = 2.5 Simplifying a = 2.5
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