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Simplifying 6 + -1P + 0.2R = 8 + P + -6N Reorder the terms: 6 + -1P + 0.2R = 8 + -6N + P Solving 6 + -1P + 0.2R = 8 + -6N + P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1P' to each side of the equation. 6 + -1P + -1P + 0.2R = 8 + -6N + P + -1P Combine like terms: -1P + -1P = -2P 6 + -2P + 0.2R = 8 + -6N + P + -1P Combine like terms: P + -1P = 0 6 + -2P + 0.2R = 8 + -6N + 0 6 + -2P + 0.2R = 8 + -6N Add '-6' to each side of the equation. 6 + -2P + -6 + 0.2R = 8 + -6 + -6N Reorder the terms: 6 + -6 + -2P + 0.2R = 8 + -6 + -6N Combine like terms: 6 + -6 = 0 0 + -2P + 0.2R = 8 + -6 + -6N -2P + 0.2R = 8 + -6 + -6N Combine like terms: 8 + -6 = 2 -2P + 0.2R = 2 + -6N Add '-0.2R' to each side of the equation. -2P + 0.2R + -0.2R = 2 + -6N + -0.2R Combine like terms: 0.2R + -0.2R = 0.0 -2P + 0.0 = 2 + -6N + -0.2R -2P = 2 + -6N + -0.2R Divide each side by '-2'. P = -1 + 3N + 0.1R Simplifying P = -1 + 3N + 0.1R
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