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Simplifying 13t + (-12) = 12t + (-12t) + 3.14 13t + -12 = 12t + (-12t) + 3.14 Reorder the terms: -12 + 13t = 12t + (-12t) + 3.14 Reorder the terms: -12 + 13t = 3.14 + 12t + (-12t) Combine like terms: 12t + (-12t) = 0 -12 + 13t = 3.14 + 0 -12 + 13t = 3.14 Solving -12 + 13t = 3.14 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13t = 3.14 + 12 Combine like terms: -12 + 12 = 0 0 + 13t = 3.14 + 12 13t = 3.14 + 12 Combine like terms: 3.14 + 12 = 15.14 13t = 15.14 Divide each side by '13'. t = 1.164615385 Simplifying t = 1.164615385
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