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Simplifying -8t + -5t + 2 = 5t + -6t Reorder the terms: 2 + -8t + -5t = 5t + -6t Combine like terms: -8t + -5t = -13t 2 + -13t = 5t + -6t Combine like terms: 5t + -6t = -1t 2 + -13t = -1t Solving 2 + -13t = -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 2 + -13t + t = -1t + t Combine like terms: -13t + t = -12t 2 + -12t = -1t + t Combine like terms: -1t + t = 0 2 + -12t = 0 Add '-2' to each side of the equation. 2 + -2 + -12t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -12t = 0 + -2 -12t = 0 + -2 Combine like terms: 0 + -2 = -2 -12t = -2 Divide each side by '-12'. t = 0.1666666667 Simplifying t = 0.1666666667
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