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Simplifying 3t + 7 = 12t + -14 Reorder the terms: 7 + 3t = 12t + -14 Reorder the terms: 7 + 3t = -14 + 12t Solving 7 + 3t = -14 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 7 + 3t + -12t = -14 + 12t + -12t Combine like terms: 3t + -12t = -9t 7 + -9t = -14 + 12t + -12t Combine like terms: 12t + -12t = 0 7 + -9t = -14 + 0 7 + -9t = -14 Add '-7' to each side of the equation. 7 + -7 + -9t = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -9t = -14 + -7 -9t = -14 + -7 Combine like terms: -14 + -7 = -21 -9t = -21 Divide each side by '-9'. t = 2.333333333 Simplifying t = 2.333333333
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