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Simplifying 0.5a + -4 = 3 + -0.25a Reorder the terms: -4 + 0.5a = 3 + -0.25a Solving -4 + 0.5a = 3 + -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. -4 + 0.5a + 0.25a = 3 + -0.25a + 0.25a Combine like terms: 0.5a + 0.25a = 0.75a -4 + 0.75a = 3 + -0.25a + 0.25a Combine like terms: -0.25a + 0.25a = 0.00 -4 + 0.75a = 3 + 0.00 -4 + 0.75a = 3 Add '4' to each side of the equation. -4 + 4 + 0.75a = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 0.75a = 3 + 4 0.75a = 3 + 4 Combine like terms: 3 + 4 = 7 0.75a = 7 Divide each side by '0.75'. a = 9.333333333 Simplifying a = 9.333333333
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