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Simplifying 3t + -5 + 8 = 2t + -5 + 5t Reorder the terms: -5 + 8 + 3t = 2t + -5 + 5t Combine like terms: -5 + 8 = 3 3 + 3t = 2t + -5 + 5t Reorder the terms: 3 + 3t = -5 + 2t + 5t Combine like terms: 2t + 5t = 7t 3 + 3t = -5 + 7t Solving 3 + 3t = -5 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3 + 3t + -7t = -5 + 7t + -7t Combine like terms: 3t + -7t = -4t 3 + -4t = -5 + 7t + -7t Combine like terms: 7t + -7t = 0 3 + -4t = -5 + 0 3 + -4t = -5 Add '-3' to each side of the equation. 3 + -3 + -4t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4t = -5 + -3 -4t = -5 + -3 Combine like terms: -5 + -3 = -8 -4t = -8 Divide each side by '-4'. t = 2 Simplifying t = 2
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