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Simplifying -10t + -17 = 15 + 5t + 17t Reorder the terms: -17 + -10t = 15 + 5t + 17t Combine like terms: 5t + 17t = 22t -17 + -10t = 15 + 22t Solving -17 + -10t = 15 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. -17 + -10t + -22t = 15 + 22t + -22t Combine like terms: -10t + -22t = -32t -17 + -32t = 15 + 22t + -22t Combine like terms: 22t + -22t = 0 -17 + -32t = 15 + 0 -17 + -32t = 15 Add '17' to each side of the equation. -17 + 17 + -32t = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -32t = 15 + 17 -32t = 15 + 17 Combine like terms: 15 + 17 = 32 -32t = 32 Divide each side by '-32'. t = -1 Simplifying t = -1
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