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Simplifying 97 = 52(t + 42) Reorder the terms: 97 = 52(42 + t) 97 = (42 * 52 + t * 52) 97 = (2184 + 52t) Solving 97 = 2184 + 52t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-52t' to each side of the equation. 97 + -52t = 2184 + 52t + -52t Combine like terms: 52t + -52t = 0 97 + -52t = 2184 + 0 97 + -52t = 2184 Add '-97' to each side of the equation. 97 + -97 + -52t = 2184 + -97 Combine like terms: 97 + -97 = 0 0 + -52t = 2184 + -97 -52t = 2184 + -97 Combine like terms: 2184 + -97 = 2087 -52t = 2087 Divide each side by '-52'. t = -40.13461538 Simplifying t = -40.13461538
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