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Simplifying 12t + -34 = 4t + -14 Reorder the terms: -34 + 12t = 4t + -14 Reorder the terms: -34 + 12t = -14 + 4t Solving -34 + 12t = -14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -34 + 12t + -4t = -14 + 4t + -4t Combine like terms: 12t + -4t = 8t -34 + 8t = -14 + 4t + -4t Combine like terms: 4t + -4t = 0 -34 + 8t = -14 + 0 -34 + 8t = -14 Add '34' to each side of the equation. -34 + 34 + 8t = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 8t = -14 + 34 8t = -14 + 34 Combine like terms: -14 + 34 = 20 8t = 20 Divide each side by '8'. t = 2.5 Simplifying t = 2.5
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