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Simplifying 100 + 7a = 250 + -18a Solving 100 + 7a = 250 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 100 + 7a + 18a = 250 + -18a + 18a Combine like terms: 7a + 18a = 25a 100 + 25a = 250 + -18a + 18a Combine like terms: -18a + 18a = 0 100 + 25a = 250 + 0 100 + 25a = 250 Add '-100' to each side of the equation. 100 + -100 + 25a = 250 + -100 Combine like terms: 100 + -100 = 0 0 + 25a = 250 + -100 25a = 250 + -100 Combine like terms: 250 + -100 = 150 25a = 150 Divide each side by '25'. a = 6 Simplifying a = 6
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