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Simplifying 2t + -3t + 8 = 6 + 5t Reorder the terms: 8 + 2t + -3t = 6 + 5t Combine like terms: 2t + -3t = -1t 8 + -1t = 6 + 5t Solving 8 + -1t = 6 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + -1t + -5t = 6 + 5t + -5t Combine like terms: -1t + -5t = -6t 8 + -6t = 6 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -6t = 6 + 0 8 + -6t = 6 Add '-8' to each side of the equation. 8 + -8 + -6t = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 6 + -8 -6t = 6 + -8 Combine like terms: 6 + -8 = -2 -6t = -2 Divide each side by '-6'. t = 0.3333333333 Simplifying t = 0.3333333333
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