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Simplifying t + -343 = -20t + -7 Reorder the terms: -343 + t = -20t + -7 Reorder the terms: -343 + t = -7 + -20t Solving -343 + t = -7 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -343 + t + 20t = -7 + -20t + 20t Combine like terms: t + 20t = 21t -343 + 21t = -7 + -20t + 20t Combine like terms: -20t + 20t = 0 -343 + 21t = -7 + 0 -343 + 21t = -7 Add '343' to each side of the equation. -343 + 343 + 21t = -7 + 343 Combine like terms: -343 + 343 = 0 0 + 21t = -7 + 343 21t = -7 + 343 Combine like terms: -7 + 343 = 336 21t = 336 Divide each side by '21'. t = 16 Simplifying t = 16
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