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Simplifying 75 + 25a = 40a Solving 75 + 25a = 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 75 + 25a + -40a = 40a + -40a Combine like terms: 25a + -40a = -15a 75 + -15a = 40a + -40a Combine like terms: 40a + -40a = 0 75 + -15a = 0 Add '-75' to each side of the equation. 75 + -75 + -15a = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -15a = 0 + -75 -15a = 0 + -75 Combine like terms: 0 + -75 = -75 -15a = -75 Divide each side by '-15'. a = 5 Simplifying a = 5
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