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Simplifying 16t + 52 = 27t + 41 Reorder the terms: 52 + 16t = 27t + 41 Reorder the terms: 52 + 16t = 41 + 27t Solving 52 + 16t = 41 + 27t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-27t' to each side of the equation. 52 + 16t + -27t = 41 + 27t + -27t Combine like terms: 16t + -27t = -11t 52 + -11t = 41 + 27t + -27t Combine like terms: 27t + -27t = 0 52 + -11t = 41 + 0 52 + -11t = 41 Add '-52' to each side of the equation. 52 + -52 + -11t = 41 + -52 Combine like terms: 52 + -52 = 0 0 + -11t = 41 + -52 -11t = 41 + -52 Combine like terms: 41 + -52 = -11 -11t = -11 Divide each side by '-11'. t = 1 Simplifying t = 1
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