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Simplifying t2 + 4t + 17 = t2 + 5t + 13 Reorder the terms: 17 + 4t + t2 = t2 + 5t + 13 Reorder the terms: 17 + 4t + t2 = 13 + 5t + t2 Add '-1t2' to each side of the equation. 17 + 4t + t2 + -1t2 = 13 + 5t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 17 + 4t + 0 = 13 + 5t + t2 + -1t2 17 + 4t = 13 + 5t + t2 + -1t2 Combine like terms: t2 + -1t2 = 0 17 + 4t = 13 + 5t + 0 17 + 4t = 13 + 5t Solving 17 + 4t = 13 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 17 + 4t + -5t = 13 + 5t + -5t Combine like terms: 4t + -5t = -1t 17 + -1t = 13 + 5t + -5t Combine like terms: 5t + -5t = 0 17 + -1t = 13 + 0 17 + -1t = 13 Add '-17' to each side of the equation. 17 + -17 + -1t = 13 + -17 Combine like terms: 17 + -17 = 0 0 + -1t = 13 + -17 -1t = 13 + -17 Combine like terms: 13 + -17 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4
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