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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 = 11t 6 + 11t = -14 + -8t + 8t Combine like terms: -8t + 8t = 0 6 + 11t = -14 + 0 6 + 11t = -14 Add '-6' to each side of the equation. 6 + -6 + 11t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 11t = -14 + -6 11t = -14 + -6 Combine like terms: -14 + -6 = -20 11t = -20 Divide each side by '11'. t = -1.818181818 Simplifying t = -1.818181818
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