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Simplifying 6 + t = 8t + -14 Reorder the terms: 6 + t = -14 + 8t Solving 6 + t = -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 + t + -8t = -14 + 8t + -8t Combine like terms: t + -8t = -7t 6 + -7t = -14 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -7t = -14 + 0 6 + -7t = -14 Add '-6' to each side of the equation. 6 + -6 + -7t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -14 + -6 -7t = -14 + -6 Combine like terms: -14 + -6 = -20 -7t = -20 Divide each side by '-7'. t = 2.857142857 Simplifying t = 2.857142857
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