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Simplifying 3t + -1 = 5t + 13 Reorder the terms: -1 + 3t = 5t + 13 Reorder the terms: -1 + 3t = 13 + 5t Solving -1 + 3t = 13 + 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. -1 + 3t + -5t = 13 + 5t + -5t Combine like terms: 3t + -5t = -2t -1 + -2t = 13 + 5t + -5t Combine like terms: 5t + -5t = 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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