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Simplifying 3t + -7 = t + 1 Reorder the terms: -7 + 3t = t + 1 Reorder the terms: -7 + 3t = 1 + t Solving -7 + 3t = 1 + 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. -7 + 3t + -1t = 1 + t + -1t Combine like terms: 3t + -1t = 2t -7 + 2t = 1 + t + -1t Combine like terms: t + -1t = 0 -7 + 2t = 1 + 0 -7 + 2t = 1 Add '7' to each side of the equation. -7 + 7 + 2t = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2t = 1 + 7 2t = 1 + 7 Combine like terms: 1 + 7 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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