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Simplifying t + 2 = 3t + -14 Reorder the terms: 2 + t = 3t + -14 Reorder the terms: 2 + t = -14 + 3t Solving 2 + t = -14 + 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. 2 + t + -3t = -14 + 3t + -3t Combine like terms: t + -3t = -2t 2 + -2t = -14 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + -2t = -14 + 0 2 + -2t = -14 Add '-2' to each side of the equation. 2 + -2 + -2t = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -2t = -14 + -2 -2t = -14 + -2 Combine like terms: -14 + -2 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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