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Simplifying 120 + 10a = 200 + 8a Solving 120 + 10a = 200 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 120 + 10a + -8a = 200 + 8a + -8a Combine like terms: 10a + -8a = 2a 120 + 2a = 200 + 8a + -8a Combine like terms: 8a + -8a = 0 120 + 2a = 200 + 0 120 + 2a = 200 Add '-120' to each side of the equation. 120 + -120 + 2a = 200 + -120 Combine like terms: 120 + -120 = 0 0 + 2a = 200 + -120 2a = 200 + -120 Combine like terms: 200 + -120 = 80 2a = 80 Divide each side by '2'. a = 40 Simplifying a = 40
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