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Simplifying 4 + 3t + -1 = 8t + 7 + -3t Reorder the terms: 4 + -1 + 3t = 8t + 7 + -3t Combine like terms: 4 + -1 = 3 3 + 3t = 8t + 7 + -3t Reorder the terms: 3 + 3t = 7 + 8t + -3t Combine like terms: 8t + -3t = 5t 3 + 3t = 7 + 5t Solving 3 + 3t = 7 + 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 + 3t + -5t = 7 + 5t + -5t Combine like terms: 3t + -5t = -2t 3 + -2t = 7 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -2t = 7 + 0 3 + -2t = 7 Add '-3' to each side of the equation. 3 + -3 + -2t = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 7 + -3 -2t = 7 + -3 Combine like terms: 7 + -3 = 4 -2t = 4 Divide each side by '-2'. t = -2 Simplifying t = -2
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