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Simplifying g(t) = 5t2 + -3t + 4forg(t) + -1g(2) Multiply g * t gt = 5t2 + -3t + 4forg(t) + -1g(2) Multiply fgor * t gt = 5t2 + -3t + 4fgort + -1g(2) Reorder the terms for easier multiplication: gt = 5t2 + -3t + 4fgort + -1 * 2g Multiply -1 * 2 gt = 5t2 + -3t + 4fgort + -2g Reorder the terms: gt = 4fgort + -2g + -3t + 5t2 Solving gt = 4fgort + -2g + -3t + 5t2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4fgort' to each side of the equation. -4fgort + gt = 4fgort + -2g + -3t + -4fgort + 5t2 Reorder the terms: -4fgort + gt = 4fgort + -4fgort + -2g + -3t + 5t2 Combine like terms: 4fgort + -4fgort = 0 -4fgort + gt = 0 + -2g + -3t + 5t2 -4fgort + gt = -2g + -3t + 5t2 Add '2g' to each side of the equation. -4fgort + 2g + gt = -2g + -3t + 2g + 5t2 Reorder the terms: -4fgort + 2g + gt = -2g + 2g + -3t + 5t2 Combine like terms: -2g + 2g = 0 -4fgort + 2g + gt = 0 + -3t + 5t2 -4fgort + 2g + gt = -3t + 5t2 Reorder the terms: -4fgort + 2g + gt + 3t + -5t2 = -3t + 3t + 5t2 + -5t2 Combine like terms: -3t + 3t = 0 -4fgort + 2g + gt + 3t + -5t2 = 0 + 5t2 + -5t2 -4fgort + 2g + gt + 3t + -5t2 = 5t2 + -5t2 Combine like terms: 5t2 + -5t2 = 0 -4fgort + 2g + gt + 3t + -5t2 = 0 The solution to this equation could not be determined.
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