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Simplifying 8t + 52 = -17 + 11t Reorder the terms: 52 + 8t = -17 + 11t Solving 52 + 8t = -17 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 52 + 8t + -11t = -17 + 11t + -11t Combine like terms: 8t + -11t = -3t 52 + -3t = -17 + 11t + -11t Combine like terms: 11t + -11t = 0 52 + -3t = -17 + 0 52 + -3t = -17 Add '-52' to each side of the equation. 52 + -52 + -3t = -17 + -52 Combine like terms: 52 + -52 = 0 0 + -3t = -17 + -52 -3t = -17 + -52 Combine like terms: -17 + -52 = -69 -3t = -69 Divide each side by '-3'. t = 23 Simplifying t = 23
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