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Simplifying 0.5a + 15 = 2.5a Reorder the terms: 15 + 0.5a = 2.5a Solving 15 + 0.5a = 2.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.5a' to each side of the equation. 15 + 0.5a + -2.5a = 2.5a + -2.5a Combine like terms: 0.5a + -2.5a = -2a 15 + -2a = 2.5a + -2.5a Combine like terms: 2.5a + -2.5a = 0.0 15 + -2a = 0.0 Add '-15' to each side of the equation. 15 + -15 + -2a = 0.0 + -15 Combine like terms: 15 + -15 = 0 0 + -2a = 0.0 + -15 -2a = 0.0 + -15 Combine like terms: 0.0 + -15 = -15 -2a = -15 Divide each side by '-2'. a = 7.5 Simplifying a = 7.5
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