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Simplifying 2.5a + 8 = 28 + -7.5a Reorder the terms: 8 + 2.5a = 28 + -7.5a Solving 8 + 2.5a = 28 + -7.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7.5a' to each side of the equation. 8 + 2.5a + 7.5a = 28 + -7.5a + 7.5a Combine like terms: 2.5a + 7.5a = 10a 8 + 10a = 28 + -7.5a + 7.5a Combine like terms: -7.5a + 7.5a = 0.0 8 + 10a = 28 + 0.0 8 + 10a = 28 Add '-8' to each side of the equation. 8 + -8 + 10a = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10a = 28 + -8 10a = 28 + -8 Combine like terms: 28 + -8 = 20 10a = 20 Divide each side by '10'. a = 2 Simplifying a = 2
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