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Simplifying 3t(t + 5) + -1t2 = 2t2 + 4t + -1 Reorder the terms: 3t(5 + t) + -1t2 = 2t2 + 4t + -1 (5 * 3t + t * 3t) + -1t2 = 2t2 + 4t + -1 (15t + 3t2) + -1t2 = 2t2 + 4t + -1 Combine like terms: 3t2 + -1t2 = 2t2 15t + 2t2 = 2t2 + 4t + -1 Reorder the terms: 15t + 2t2 = -1 + 4t + 2t2 Add '-2t2' to each side of the equation. 15t + 2t2 + -2t2 = -1 + 4t + 2t2 + -2t2 Combine like terms: 2t2 + -2t2 = 0 15t + 0 = -1 + 4t + 2t2 + -2t2 15t = -1 + 4t + 2t2 + -2t2 Combine like terms: 2t2 + -2t2 = 0 15t = -1 + 4t + 0 15t = -1 + 4t Solving 15t = -1 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 15t + -4t = -1 + 4t + -4t Combine like terms: 15t + -4t = 11t 11t = -1 + 4t + -4t Combine like terms: 4t + -4t = 0 11t = -1 + 0 11t = -1 Divide each side by '11'. t = -0.09090909091 Simplifying t = -0.09090909091
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