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Simplifying 5t + 7 = 3t + -7 Reorder the terms: 7 + 5t = 3t + -7 Reorder the terms: 7 + 5t = -7 + 3t Solving 7 + 5t = -7 + 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 = -7 + 3t + -3t Combine like terms: 5t + -3t = 2t 7 + 2t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + 2t = -7 + 0 7 + 2t = -7 Add '-7' to each side of the equation. 7 + -7 + 2t = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = -7 + -7 2t = -7 + -7 Combine like terms: -7 + -7 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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