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Simplifying 40 + -2P + 3T + G = 10 + 4P + -0.5T Reorder the terms: 40 + G + -2P + 3T = 10 + 4P + -0.5T Solving 40 + G + -2P + 3T = 10 + 4P + -0.5T Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + G + -2P + -40 + 3T = 10 + 4P + -40 + -0.5T Reorder the terms: 40 + -40 + G + -2P + 3T = 10 + 4P + -40 + -0.5T Combine like terms: 40 + -40 = 0 0 + G + -2P + 3T = 10 + 4P + -40 + -0.5T G + -2P + 3T = 10 + 4P + -40 + -0.5T Reorder the terms: G + -2P + 3T = 10 + -40 + 4P + -0.5T Combine like terms: 10 + -40 = -30 G + -2P + 3T = -30 + 4P + -0.5T Add '2P' to each side of the equation. G + -2P + 2P + 3T = -30 + 4P + 2P + -0.5T Combine like terms: -2P + 2P = 0 G + 0 + 3T = -30 + 4P + 2P + -0.5T G + 3T = -30 + 4P + 2P + -0.5T Combine like terms: 4P + 2P = 6P G + 3T = -30 + 6P + -0.5T Add '-3T' to each side of the equation. G + 3T + -3T = -30 + 6P + -0.5T + -3T Combine like terms: 3T + -3T = 0 G + 0 = -30 + 6P + -0.5T + -3T G = -30 + 6P + -0.5T + -3T Combine like terms: -0.5T + -3T = -3.5T G = -30 + 6P + -3.5T Simplifying G = -30 + 6P + -3.5T
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