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Simplifying 2t + 3 = 5t + 14 Reorder the terms: 3 + 2t = 5t + 14 Reorder the terms: 3 + 2t = 14 + 5t Solving 3 + 2t = 14 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3 + 2t + -5t = 14 + 5t + -5t Combine like terms: 2t + -5t = -3t 3 + -3t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -3t = 14 + 0 3 + -3t = 14 Add '-3' to each side of the equation. 3 + -3 + -3t = 14 + -3 Combine like terms: 3 + -3 = 0 0 + -3t = 14 + -3 -3t = 14 + -3 Combine like terms: 14 + -3 = 11 -3t = 11 Divide each side by '-3'. t = -3.666666667 Simplifying t = -3.666666667
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