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Simplifying 2t + 5 = 3t + -2 Reorder the terms: 5 + 2t = 3t + -2 Reorder the terms: 5 + 2t = -2 + 3t Solving 5 + 2t = -2 + 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. 5 + 2t + -3t = -2 + 3t + -3t Combine like terms: 2t + -3t = -1t 5 + -1t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + -1t = -2 + 0 5 + -1t = -2 Add '-5' to each side of the equation. 5 + -5 + -1t = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1t = -2 + -5 -1t = -2 + -5 Combine like terms: -2 + -5 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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