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Simplifying 52t = 40(11.5 + -1t) 52t = (11.5 * 40 + -1t * 40) 52t = (460 + -40t) Solving 52t = 460 + -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. 52t + 40t = 460 + -40t + 40t Combine like terms: 52t + 40t = 92t 92t = 460 + -40t + 40t Combine like terms: -40t + 40t = 0 92t = 460 + 0 92t = 460 Divide each side by '92'. t = 5 Simplifying t = 5
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