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Simplifying 312.50 = a + 0.25a Combine like terms: a + 0.25a = 1.25a 312.50 = 1.25a Solving 312.50 = 1.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.25a' to each side of the equation. 312.50 + -1.25a = 1.25a + -1.25a Combine like terms: 1.25a + -1.25a = 0.00 312.50 + -1.25a = 0.00 Add '-312.50' to each side of the equation. 312.50 + -312.50 + -1.25a = 0.00 + -312.50 Combine like terms: 312.50 + -312.50 = 0.00 0.00 + -1.25a = 0.00 + -312.50 -1.25a = 0.00 + -312.50 Combine like terms: 0.00 + -312.50 = -312.5 -1.25a = -312.5 Divide each side by '-1.25'. a = 250 Simplifying a = 250
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