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Simplifying (t + -1) = 3t + 1 Reorder the terms: (-1 + t) = 3t + 1 Remove parenthesis around (-1 + t) -1 + t = 3t + 1 Reorder the terms: -1 + t = 1 + 3t Solving -1 + t = 1 + 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 + t + -3t = 1 + 3t + -3t Combine like terms: t + -3t = -2t -1 + -2t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 -1 + -2t = 1 + 0 -1 + -2t = 1 Add '1' to each side of the equation. -1 + 1 + -2t = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -2t = 1 + 1 -2t = 1 + 1 Combine like terms: 1 + 1 = 2 -2t = 2 Divide each side by '-2'. t = -1 Simplifying t = -1
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