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Simplifying t(t + 4) + -1 = t(t + 2) + 3 Reorder the terms: t(4 + t) + -1 = t(t + 2) + 3 (4 * t + t * t) + -1 = t(t + 2) + 3 (4t + t2) + -1 = t(t + 2) + 3 Reorder the terms: -1 + 4t + t2 = t(t + 2) + 3 Reorder the terms: -1 + 4t + t2 = t(2 + t) + 3 -1 + 4t + t2 = (2 * t + t * t) + 3 -1 + 4t + t2 = (2t + t2) + 3 Reorder the terms: -1 + 4t + t2 = 3 + 2t + t2 Add '-1t2' to each side of the equation. -1 + 4t + t2 + -1t2 = 3 + 2t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -1 + 4t + 0 = 3 + 2t + t2 + -1t2 -1 + 4t = 3 + 2t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -1 + 4t = 3 + 2t + 0 -1 + 4t = 3 + 2t Solving -1 + 4t = 3 + 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 = 3 + 2t + -2t Combine like terms: 4t + -2t = 2t -1 + 2t = 3 + 2t + -2t Combine like terms: 2t + -2t = 0 -1 + 2t = 3 + 0 -1 + 2t = 3 Add '1' to each side of the equation. -1 + 1 + 2t = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 2t = 3 + 1 2t = 3 + 1 Combine like terms: 3 + 1 = 4 2t = 4 Divide each side by '2'. t = 2 Simplifying t = 2
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