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Simplifying t(t + -2) + 2(2t + -1) = t2 + 4 Reorder the terms: t(-2 + t) + 2(2t + -1) = t2 + 4 (-2 * t + t * t) + 2(2t + -1) = t2 + 4 (-2t + t2) + 2(2t + -1) = t2 + 4 Reorder the terms: -2t + t2 + 2(-1 + 2t) = t2 + 4 -2t + t2 + (-1 * 2 + 2t * 2) = t2 + 4 -2t + t2 + (-2 + 4t) = t2 + 4 Reorder the terms: -2 + -2t + 4t + t2 = t2 + 4 Combine like terms: -2t + 4t = 2t -2 + 2t + t2 = t2 + 4 Reorder the terms: -2 + 2t + t2 = 4 + t2 Add '-1t2' to each side of the equation. -2 + 2t + t2 + -1t2 = 4 + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -2 + 2t + 0 = 4 + t2 + -1t2 -2 + 2t = 4 + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -2 + 2t = 4 + 0 -2 + 2t = 4 Solving -2 + 2t = 4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2t = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 4 + 2 2t = 4 + 2 Combine like terms: 4 + 2 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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