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Simplifying t + -8 = t(t + -1) + -1t(t) Reorder the terms: -8 + t = t(t + -1) + -1t(t) Reorder the terms: -8 + t = t(-1 + t) + -1t(t) -8 + t = (-1 * t + t * t) + -1t(t) -8 + t = (-1t + t2) + -1t(t) Multiply t * t -8 + t = -1t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 -8 + t = -1t + 0 -8 + t = -1t Solving -8 + t = -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -8 + t + t = -1t + t Combine like terms: t + t = 2t -8 + 2t = -1t + t Combine like terms: -1t + t = 0 -8 + 2t = 0 Add '8' to each side of the equation. -8 + 8 + 2t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 0 + 8 2t = 0 + 8 Combine like terms: 0 + 8 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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