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Simplifying 1.5 + 0.75a = 0.25a + -0.50 Reorder the terms: 1.5 + 0.75a = -0.50 + 0.25a Solving 1.5 + 0.75a = -0.50 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 1.5 + 0.75a + -0.25a = -0.50 + 0.25a + -0.25a Combine like terms: 0.75a + -0.25a = 0.5a 1.5 + 0.5a = -0.50 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 1.5 + 0.5a = -0.50 + 0.00 1.5 + 0.5a = -0.50 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5a = -0.50 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5a = -0.50 + -1.5 0.5a = -0.50 + -1.5 Combine like terms: -0.50 + -1.5 = -2 0.5a = -2 Divide each side by '0.5'. a = -4 Simplifying a = -4
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