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Simplifying 170t + 8 + -162t = 40t + -32 + 8 Reorder the terms: 8 + 170t + -162t = 40t + -32 + 8 Combine like terms: 170t + -162t = 8t 8 + 8t = 40t + -32 + 8 Reorder the terms: 8 + 8t = -32 + 8 + 40t Combine like terms: -32 + 8 = -24 8 + 8t = -24 + 40t Solving 8 + 8t = -24 + 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. 8 + 8t + -40t = -24 + 40t + -40t Combine like terms: 8t + -40t = -32t 8 + -32t = -24 + 40t + -40t Combine like terms: 40t + -40t = 0 8 + -32t = -24 + 0 8 + -32t = -24 Add '-8' to each side of the equation. 8 + -8 + -32t = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -32t = -24 + -8 -32t = -24 + -8 Combine like terms: -24 + -8 = -32 -32t = -32 Divide each side by '-32'. t = 1 Simplifying t = 1
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