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Simplifying 7t + -10 + 3t = -5t + 3t Reorder the terms: -10 + 7t + 3t = -5t + 3t Combine like terms: 7t + 3t = 10t -10 + 10t = -5t + 3t Combine like terms: -5t + 3t = -2t -10 + 10t = -2t Solving -10 + 10t = -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -10 + 10t + 2t = -2t + 2t Combine like terms: 10t + 2t = 12t -10 + 12t = -2t + 2t Combine like terms: -2t + 2t = 0 -10 + 12t = 0 Add '10' to each side of the equation. -10 + 10 + 12t = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 12t = 0 + 10 12t = 0 + 10 Combine like terms: 0 + 10 = 10 12t = 10 Divide each side by '12'. t = 0.8333333333 Simplifying t = 0.8333333333
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