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Simplifying 23 + 0.4a = 40 + 0.25a Solving 23 + 0.4a = 40 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 23 + 0.4a + -0.25a = 40 + 0.25a + -0.25a Combine like terms: 0.4a + -0.25a = 0.15a 23 + 0.15a = 40 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 23 + 0.15a = 40 + 0.00 23 + 0.15a = 40 Add '-23' to each side of the equation. 23 + -23 + 0.15a = 40 + -23 Combine like terms: 23 + -23 = 0 0 + 0.15a = 40 + -23 0.15a = 40 + -23 Combine like terms: 40 + -23 = 17 0.15a = 17 Divide each side by '0.15'. a = 113.3333333 Simplifying a = 113.3333333
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