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Simplifying 2t + 5 = 5t + 12 Reorder the terms: 5 + 2t = 5t + 12 Reorder the terms: 5 + 2t = 12 + 5t Solving 5 + 2t = 12 + 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. 5 + 2t + -5t = 12 + 5t + -5t Combine like terms: 2t + -5t = -3t 5 + -3t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -3t = 12 + 0 5 + -3t = 12 Add '-5' to each side of the equation. 5 + -5 + -3t = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -3t = 12 + -5 -3t = 12 + -5 Combine like terms: 12 + -5 = 7 -3t = 7 Divide each side by '-3'. t = -2.333333333 Simplifying t = -2.333333333
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