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Simplifying t2 + 10t + 15 = t2 + 3t + 17 Reorder the terms: 15 + 10t + t2 = t2 + 3t + 17 Reorder the terms: 15 + 10t + t2 = 17 + 3t + t2 Add '-1t2' to each side of the equation. 15 + 10t + t2 + -1t2 = 17 + 3t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 15 + 10t + 0 = 17 + 3t + t2 + -1t2 15 + 10t = 17 + 3t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 15 + 10t = 17 + 3t + 0 15 + 10t = 17 + 3t Solving 15 + 10t = 17 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 15 + 10t + -3t = 17 + 3t + -3t Combine like terms: 10t + -3t = 7t 15 + 7t = 17 + 3t + -3t Combine like terms: 3t + -3t = 0 15 + 7t = 17 + 0 15 + 7t = 17 Add '-15' to each side of the equation. 15 + -15 + 7t = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 7t = 17 + -15 7t = 17 + -15 Combine like terms: 17 + -15 = 2 7t = 2 Divide each side by '7'. t = 0.2857142857 Simplifying t = 0.2857142857
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