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Simplifying 0.75a + -6 = 3 + 0.50a Reorder the terms: -6 + 0.75a = 3 + 0.50a Solving -6 + 0.75a = 3 + 0.50a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.50a' to each side of the equation. -6 + 0.75a + -0.50a = 3 + 0.50a + -0.50a Combine like terms: 0.75a + -0.50a = 0.25a -6 + 0.25a = 3 + 0.50a + -0.50a Combine like terms: 0.50a + -0.50a = 0.00 -6 + 0.25a = 3 + 0.00 -6 + 0.25a = 3 Add '6' to each side of the equation. -6 + 6 + 0.25a = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 0.25a = 3 + 6 0.25a = 3 + 6 Combine like terms: 3 + 6 = 9 0.25a = 9 Divide each side by '0.25'. a = 36 Simplifying a = 36
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