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Simplifying 8 + 17t + -7 = 9t + 13 + -4t Reorder the terms: 8 + -7 + 17t = 9t + 13 + -4t Combine like terms: 8 + -7 = 1 1 + 17t = 9t + 13 + -4t Reorder the terms: 1 + 17t = 13 + 9t + -4t Combine like terms: 9t + -4t = 5t 1 + 17t = 13 + 5t Solving 1 + 17t = 13 + 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. 1 + 17t + -5t = 13 + 5t + -5t Combine like terms: 17t + -5t = 12t 1 + 12t = 13 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + 12t = 13 + 0 1 + 12t = 13 Add '-1' to each side of the equation. 1 + -1 + 12t = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 12t = 13 + -1 12t = 13 + -1 Combine like terms: 13 + -1 = 12 12t = 12 Divide each side by '12'. t = 1 Simplifying t = 1
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