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Simplifying 5t + 7 = 3t + -10 Reorder the terms: 7 + 5t = 3t + -10 Reorder the terms: 7 + 5t = -10 + 3t Solving 7 + 5t = -10 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7 + 5t + -3t = -10 + 3t + -3t Combine like terms: 5t + -3t = 2t 7 + 2t = -10 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + 2t = -10 + 0 7 + 2t = -10 Add '-7' to each side of the equation. 7 + -7 + 2t = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = -10 + -7 2t = -10 + -7 Combine like terms: -10 + -7 = -17 2t = -17 Divide each side by '2'. t = -8.5 Simplifying t = -8.5
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