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Simplifying 400 + -15a = 1000 + -40a Solving 400 + -15a = 1000 + -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. 400 + -15a + 40a = 1000 + -40a + 40a Combine like terms: -15a + 40a = 25a 400 + 25a = 1000 + -40a + 40a Combine like terms: -40a + 40a = 0 400 + 25a = 1000 + 0 400 + 25a = 1000 Add '-400' to each side of the equation. 400 + -400 + 25a = 1000 + -400 Combine like terms: 400 + -400 = 0 0 + 25a = 1000 + -400 25a = 1000 + -400 Combine like terms: 1000 + -400 = 600 25a = 600 Divide each side by '25'. a = 24 Simplifying a = 24
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