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Simplifying 3t + -14 = -34 + 8t Reorder the terms: -14 + 3t = -34 + 8t Solving -14 + 3t = -34 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -14 + 3t + -8t = -34 + 8t + -8t Combine like terms: 3t + -8t = -5t -14 + -5t = -34 + 8t + -8t Combine like terms: 8t + -8t = 0 -14 + -5t = -34 + 0 -14 + -5t = -34 Add '14' to each side of the equation. -14 + 14 + -5t = -34 + 14 Combine like terms: -14 + 14 = 0 0 + -5t = -34 + 14 -5t = -34 + 14 Combine like terms: -34 + 14 = -20 -5t = -20 Divide each side by '-5'. t = 4 Simplifying t = 4
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