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Simplifying 4 + 13t + -1 = 8t + 33 + -5t Reorder the terms: 4 + -1 + 13t = 8t + 33 + -5t Combine like terms: 4 + -1 = 3 3 + 13t = 8t + 33 + -5t Reorder the terms: 3 + 13t = 33 + 8t + -5t Combine like terms: 8t + -5t = 3t 3 + 13t = 33 + 3t Solving 3 + 13t = 33 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 3 + 13t + -3t = 33 + 3t + -3t Combine like terms: 13t + -3t = 10t 3 + 10t = 33 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 10t = 33 + 0 3 + 10t = 33 Add '-3' to each side of the equation. 3 + -3 + 10t = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10t = 33 + -3 10t = 33 + -3 Combine like terms: 33 + -3 = 30 10t = 30 Divide each side by '10'. t = 3 Simplifying t = 3
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