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Simplifying t + 12 = 3t + -14 Reorder the terms: 12 + t = 3t + -14 Reorder the terms: 12 + t = -14 + 3t Solving 12 + 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. 12 + t + -3t = -14 + 3t + -3t Combine like terms: t + -3t = -2t 12 + -2t = -14 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -2t = -14 + 0 12 + -2t = -14 Add '-12' to each side of the equation. 12 + -12 + -2t = -14 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = -14 + -12 -2t = -14 + -12 Combine like terms: -14 + -12 = -26 -2t = -26 Divide each side by '-2'. t = 13 Simplifying t = 13
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