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Simplifying 0.5a + -3 = 7 + -0.75a Reorder the terms: -3 + 0.5a = 7 + -0.75a Solving -3 + 0.5a = 7 + -0.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.75a' to each side of the equation. -3 + 0.5a + 0.75a = 7 + -0.75a + 0.75a Combine like terms: 0.5a + 0.75a = 1.25a -3 + 1.25a = 7 + -0.75a + 0.75a Combine like terms: -0.75a + 0.75a = 0.00 -3 + 1.25a = 7 + 0.00 -3 + 1.25a = 7 Add '3' to each side of the equation. -3 + 3 + 1.25a = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 1.25a = 7 + 3 1.25a = 7 + 3 Combine like terms: 7 + 3 = 10 1.25a = 10 Divide each side by '1.25'. a = 8 Simplifying a = 8
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