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Simplifying 6 + 17t + -1 = 9t + 65 + -4t Reorder the terms: 6 + -1 + 17t = 9t + 65 + -4t Combine like terms: 6 + -1 = 5 5 + 17t = 9t + 65 + -4t Reorder the terms: 5 + 17t = 65 + 9t + -4t Combine like terms: 9t + -4t = 5t 5 + 17t = 65 + 5t Solving 5 + 17t = 65 + 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. 5 + 17t + -5t = 65 + 5t + -5t Combine like terms: 17t + -5t = 12t 5 + 12t = 65 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + 12t = 65 + 0 5 + 12t = 65 Add '-5' to each side of the equation. 5 + -5 + 12t = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 12t = 65 + -5 12t = 65 + -5 Combine like terms: 65 + -5 = 60 12t = 60 Divide each side by '12'. t = 5 Simplifying t = 5
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