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Simplifying t + 52 = 10t + -92 Reorder the terms: 52 + t = 10t + -92 Reorder the terms: 52 + t = -92 + 10t Solving 52 + t = -92 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 52 + t + -10t = -92 + 10t + -10t Combine like terms: t + -10t = -9t 52 + -9t = -92 + 10t + -10t Combine like terms: 10t + -10t = 0 52 + -9t = -92 + 0 52 + -9t = -92 Add '-52' to each side of the equation. 52 + -52 + -9t = -92 + -52 Combine like terms: 52 + -52 = 0 0 + -9t = -92 + -52 -9t = -92 + -52 Combine like terms: -92 + -52 = -144 -9t = -144 Divide each side by '-9'. t = 16 Simplifying t = 16
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