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Simplifying A + B + B + A + N + P = 100 Reorder the terms: A + A + B + B + N + P = 100 Combine like terms: A + A = 2A 2A + B + B + N + P = 100 Combine like terms: B + B = 2B 2A + 2B + N + P = 100 Solving 2A + 2B + N + P = 100 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2B' to each side of the equation. 2A + 2B + N + -2B + P = 100 + -2B Reorder the terms: 2A + 2B + -2B + N + P = 100 + -2B Combine like terms: 2B + -2B = 0 2A + 0 + N + P = 100 + -2B 2A + N + P = 100 + -2B Add '-1N' to each side of the equation. 2A + N + -1N + P = 100 + -2B + -1N Combine like terms: N + -1N = 0 2A + 0 + P = 100 + -2B + -1N 2A + P = 100 + -2B + -1N Add '-1P' to each side of the equation. 2A + P + -1P = 100 + -2B + -1N + -1P Combine like terms: P + -1P = 0 2A + 0 = 100 + -2B + -1N + -1P 2A = 100 + -2B + -1N + -1P Divide each side by '2'. A = 50 + -1B + -0.5N + -0.5P Simplifying A = 50 + -1B + -0.5N + -0.5P
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