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Simplifying t + 1 = 3t + -5 Reorder the terms: 1 + t = 3t + -5 Reorder the terms: 1 + t = -5 + 3t Solving 1 + t = -5 + 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 = -5 + 3t + -3t Combine like terms: t + -3t = -2t 1 + -2t = -5 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + -2t = -5 + 0 1 + -2t = -5 Add '-1' to each side of the equation. 1 + -1 + -2t = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = -5 + -1 -2t = -5 + -1 Combine like terms: -5 + -1 = -6 -2t = -6 Divide each side by '-2'. t = 3 Simplifying t = 3
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