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Simplifying 10 + A + -1B = 15 + B Solving 10 + A + -1B = 15 + B Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + A + -10 + -1B = 15 + -10 + B Reorder the terms: 10 + -10 + A + -1B = 15 + -10 + B Combine like terms: 10 + -10 = 0 0 + A + -1B = 15 + -10 + B A + -1B = 15 + -10 + B Combine like terms: 15 + -10 = 5 A + -1B = 5 + B Add 'B' to each side of the equation. A + -1B + B = 5 + B + B Combine like terms: -1B + B = 0 A + 0 = 5 + B + B A = 5 + B + B Combine like terms: B + B = 2B A = 5 + 2B Simplifying A = 5 + 2B
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