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Simplifying 170t + 800 + -162t = 40t + -32 + 800 Reorder the terms: 800 + 170t + -162t = 40t + -32 + 800 Combine like terms: 170t + -162t = 8t 800 + 8t = 40t + -32 + 800 Reorder the terms: 800 + 8t = -32 + 800 + 40t Combine like terms: -32 + 800 = 768 800 + 8t = 768 + 40t Solving 800 + 8t = 768 + 40t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-40t' to each side of the equation. 800 + 8t + -40t = 768 + 40t + -40t Combine like terms: 8t + -40t = -32t 800 + -32t = 768 + 40t + -40t Combine like terms: 40t + -40t = 0 800 + -32t = 768 + 0 800 + -32t = 768 Add '-800' to each side of the equation. 800 + -800 + -32t = 768 + -800 Combine like terms: 800 + -800 = 0 0 + -32t = 768 + -800 -32t = 768 + -800 Combine like terms: 768 + -800 = -32 -32t = -32 Divide each side by '-32'. t = 1 Simplifying t = 1
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