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Simplifying -5t + 8 = -6 + 2t + 5t Reorder the terms: 8 + -5t = -6 + 2t + 5t Combine like terms: 2t + 5t = 7t 8 + -5t = -6 + 7t Solving 8 + -5t = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 8 + -5t + -7t = -6 + 7t + -7t Combine like terms: -5t + -7t = -12t 8 + -12t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 8 + -12t = -6 + 0 8 + -12t = -6 Add '-8' to each side of the equation. 8 + -8 + -12t = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -12t = -6 + -8 -12t = -6 + -8 Combine like terms: -6 + -8 = -14 -12t = -14 Divide each side by '-12'. t = 1.166666667 Simplifying t = 1.166666667
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