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Simplifying 55t + 165 = 40t Reorder the terms: 165 + 55t = 40t Solving 165 + 55t = 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. 165 + 55t + -40t = 40t + -40t Combine like terms: 55t + -40t = 15t 165 + 15t = 40t + -40t Combine like terms: 40t + -40t = 0 165 + 15t = 0 Add '-165' to each side of the equation. 165 + -165 + 15t = 0 + -165 Combine like terms: 165 + -165 = 0 0 + 15t = 0 + -165 15t = 0 + -165 Combine like terms: 0 + -165 = -165 15t = -165 Divide each side by '15'. t = -11 Simplifying t = -11
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