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Simplifying 3t + -4 = t + 13 Reorder the terms: -4 + 3t = t + 13 Reorder the terms: -4 + 3t = 13 + t Solving -4 + 3t = 13 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -4 + 3t + -1t = 13 + t + -1t Combine like terms: 3t + -1t = 2t -4 + 2t = 13 + t + -1t Combine like terms: t + -1t = 0 -4 + 2t = 13 + 0 -4 + 2t = 13 Add '4' to each side of the equation. -4 + 4 + 2t = 13 + 4 Combine like terms: -4 + 4 = 0 0 + 2t = 13 + 4 2t = 13 + 4 Combine like terms: 13 + 4 = 17 2t = 17 Divide each side by '2'. t = 8.5 Simplifying t = 8.5
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