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Simplifying G(T) + -1g(2) = 3t2 + -4t + 5 Multiply G * T GT + -1g(2) = 3t2 + -4t + 5 Reorder the terms for easier multiplication: GT + -1 * 2g = 3t2 + -4t + 5 Multiply -1 * 2 GT + -2g = 3t2 + -4t + 5 Reorder the terms: GT + -2g = 5 + -4t + 3t2 Solving GT + -2g = 5 + -4t + 3t2 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Add '2g' to each side of the equation. GT + -2g + 2g = 5 + -4t + 2g + 3t2 Combine like terms: -2g + 2g = 0 GT + 0 = 5 + -4t + 2g + 3t2 GT = 5 + -4t + 2g + 3t2 Reorder the terms: GT = 5 + 2g + -4t + 3t2 Divide each side by 'T'. G = 5T-1 + 2gT-1 + -4tT-1 + 3t2T-1 Simplifying G = 5T-1 + 2gT-1 + -4tT-1 + 3t2T-1
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