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Simplifying 6 + 3t = 8t + -14 Reorder the terms: 6 + 3t = -14 + 8t Solving 6 + 3t = -14 + 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. 6 + 3t + -8t = -14 + 8t + -8t Combine like terms: 3t + -8t = -5t 6 + -5t = -14 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -5t = -14 + 0 6 + -5t = -14 Add '-6' to each side of the equation. 6 + -6 + -5t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -14 + -6 -5t = -14 + -6 Combine like terms: -14 + -6 = -20 -5t = -20 Divide each side by '-5'. t = 4 Simplifying t = 4
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