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Simplifying 7 + 3t + -1 = 8t + 10 + -3t Reorder the terms: 7 + -1 + 3t = 8t + 10 + -3t Combine like terms: 7 + -1 = 6 6 + 3t = 8t + 10 + -3t Reorder the terms: 6 + 3t = 10 + 8t + -3t Combine like terms: 8t + -3t = 5t 6 + 3t = 10 + 5t Solving 6 + 3t = 10 + 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. 6 + 3t + -5t = 10 + 5t + -5t Combine like terms: 3t + -5t = -2t 6 + -2t = 10 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -2t = 10 + 0 6 + -2t = 10 Add '-6' to each side of the equation. 6 + -6 + -2t = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2t = 10 + -6 -2t = 10 + -6 Combine like terms: 10 + -6 = 4 -2t = 4 Divide each side by '-2'. t = -2 Simplifying t = -2
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