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Simplifying 10t + 6 = -14 + -2t Reorder the terms: 6 + 10t = -14 + -2t Solving 6 + 10t = -14 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 6 + 10t + 2t = -14 + -2t + 2t Combine like terms: 10t + 2t = 12t 6 + 12t = -14 + -2t + 2t Combine like terms: -2t + 2t = 0 6 + 12t = -14 + 0 6 + 12t = -14 Add '-6' to each side of the equation. 6 + -6 + 12t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 12t = -14 + -6 12t = -14 + -6 Combine like terms: -14 + -6 = -20 12t = -20 Divide each side by '12'. t = -1.666666667 Simplifying t = -1.666666667
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