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Simplifying 5t + 1 = 3t + -13 Reorder the terms: 1 + 5t = 3t + -13 Reorder the terms: 1 + 5t = -13 + 3t Solving 1 + 5t = -13 + 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. 1 + 5t + -3t = -13 + 3t + -3t Combine like terms: 5t + -3t = 2t 1 + 2t = -13 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 2t = -13 + 0 1 + 2t = -13 Add '-1' to each side of the equation. 1 + -1 + 2t = -13 + -1 Combine like terms: 1 + -1 = 0 0 + 2t = -13 + -1 2t = -13 + -1 Combine like terms: -13 + -1 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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