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Simplifying 1t(1t + 4) + -1 = 1t(1t + 2) + 2 Reorder the terms: 1t(4 + 1t) + -1 = 1t(1t + 2) + 2 (4 * 1t + 1t * 1t) + -1 = 1t(1t + 2) + 2 (4t + 1t2) + -1 = 1t(1t + 2) + 2 Reorder the terms: -1 + 4t + 1t2 = 1t(1t + 2) + 2 Reorder the terms: -1 + 4t + 1t2 = 1t(2 + 1t) + 2 -1 + 4t + 1t2 = (2 * 1t + 1t * 1t) + 2 -1 + 4t + 1t2 = (2t + 1t2) + 2 Reorder the terms: -1 + 4t + 1t2 = 2 + 2t + 1t2 Add '-1t2' to each side of the equation. -1 + 4t + 1t2 + -1t2 = 2 + 2t + 1t2 + -1t2 Combine like terms: 1t2 + -1t2 = 0 -1 + 4t + 0 = 2 + 2t + 1t2 + -1t2 -1 + 4t = 2 + 2t + 1t2 + -1t2 Combine like terms: 1t2 + -1t2 = 0 -1 + 4t = 2 + 2t + 0 -1 + 4t = 2 + 2t Solving -1 + 4t = 2 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -1 + 4t + -2t = 2 + 2t + -2t Combine like terms: 4t + -2t = 2t -1 + 2t = 2 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + 2t = 2 + 0 -1 + 2t = 2 Add '1' to each side of the equation. -1 + 1 + 2t = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 2 + 1 2t = 2 + 1 Combine like terms: 2 + 1 = 3 2t = 3 Divide each side by '2'. t = 1.5 Simplifying t = 1.5
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