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Simplifying 52t + -1(25t + -52) = 0 Reorder the terms: 52t + -1(-52 + 25t) = 0 52t + (-52 * -1 + 25t * -1) = 0 52t + (52 + -25t) = 0 Reorder the terms: 52 + 52t + -25t = 0 Combine like terms: 52t + -25t = 27t 52 + 27t = 0 Solving 52 + 27t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 27t = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 27t = 0 + -52 27t = 0 + -52 Combine like terms: 0 + -52 = -52 27t = -52 Divide each side by '27'. t = -1.925925926 Simplifying t = -1.925925926
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