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