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Simplifying A + 2A + 5A + -100 = 250 + A Reorder the terms: -100 + A + 2A + 5A = 250 + A Combine like terms: A + 2A = 3A -100 + 3A + 5A = 250 + A Combine like terms: 3A + 5A = 8A -100 + 8A = 250 + A Solving -100 + 8A = 250 + A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-1A' to each side of the equation. -100 + 8A + -1A = 250 + A + -1A Combine like terms: 8A + -1A = 7A -100 + 7A = 250 + A + -1A Combine like terms: A + -1A = 0 -100 + 7A = 250 + 0 -100 + 7A = 250 Add '100' to each side of the equation. -100 + 100 + 7A = 250 + 100 Combine like terms: -100 + 100 = 0 0 + 7A = 250 + 100 7A = 250 + 100 Combine like terms: 250 + 100 = 350 7A = 350 Divide each side by '7'. A = 50 Simplifying A = 50
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