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Simplifying P + 2M + 3N = 38 Reorder the terms: 2M + 3N + P = 38 Solving 2M + 3N + P = 38 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-3N' to each side of the equation. 2M + 3N + -3N + P = 38 + -3N Combine like terms: 3N + -3N = 0 2M + 0 + P = 38 + -3N 2M + P = 38 + -3N Add '-1P' to each side of the equation. 2M + P + -1P = 38 + -3N + -1P Combine like terms: P + -1P = 0 2M + 0 = 38 + -3N + -1P 2M = 38 + -3N + -1P Divide each side by '2'. M = 19 + -1.5N + -0.5P Simplifying M = 19 + -1.5N + -0.5P
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