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Simplifying 8 + 2t + -3 = 7t + 13 + -3t Reorder the terms: 8 + -3 + 2t = 7t + 13 + -3t Combine like terms: 8 + -3 = 5 5 + 2t = 7t + 13 + -3t Reorder the terms: 5 + 2t = 13 + 7t + -3t Combine like terms: 7t + -3t = 4t 5 + 2t = 13 + 4t Solving 5 + 2t = 13 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 5 + 2t + -4t = 13 + 4t + -4t Combine like terms: 2t + -4t = -2t 5 + -2t = 13 + 4t + -4t Combine like terms: 4t + -4t = 0 5 + -2t = 13 + 0 5 + -2t = 13 Add '-5' to each side of the equation. 5 + -5 + -2t = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = 13 + -5 -2t = 13 + -5 Combine like terms: 13 + -5 = 8 -2t = 8 Divide each side by '-2'. t = -4 Simplifying t = -4
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