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Simplifying 8t + -3t + 2 = 5t + -6t Reorder the terms: 2 + 8t + -3t = 5t + -6t Combine like terms: 8t + -3t = 5t 2 + 5t = 5t + -6t Combine like terms: 5t + -6t = -1t 2 + 5t = -1t Solving 2 + 5t = -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 + 5t + t = -1t + t Combine like terms: 5t + t = 6t 2 + 6t = -1t + t Combine like terms: -1t + t = 0 2 + 6t = 0 Add '-2' to each side of the equation. 2 + -2 + 6t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6t = 0 + -2 6t = 0 + -2 Combine like terms: 0 + -2 = -2 6t = -2 Divide each side by '6'. t = -0.3333333333 Simplifying t = -0.3333333333
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