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Simplifying 0.05a + 7.50 = 0.08a Reorder the terms: 7.50 + 0.05a = 0.08a Solving 7.50 + 0.05a = 0.08a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.08a' to each side of the equation. 7.50 + 0.05a + -0.08a = 0.08a + -0.08a Combine like terms: 0.05a + -0.08a = -0.03a 7.50 + -0.03a = 0.08a + -0.08a Combine like terms: 0.08a + -0.08a = 0.00 7.50 + -0.03a = 0.00 Add '-7.50' to each side of the equation. 7.50 + -7.50 + -0.03a = 0.00 + -7.50 Combine like terms: 7.50 + -7.50 = 0.00 0.00 + -0.03a = 0.00 + -7.50 -0.03a = 0.00 + -7.50 Combine like terms: 0.00 + -7.50 = -7.5 -0.03a = -7.5 Divide each side by '-0.03'. a = 250 Simplifying a = 250
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