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Simplifying 8 + 9t + -2 = 9t + 36 + -5t Reorder the terms: 8 + -2 + 9t = 9t + 36 + -5t Combine like terms: 8 + -2 = 6 6 + 9t = 9t + 36 + -5t Reorder the terms: 6 + 9t = 36 + 9t + -5t Combine like terms: 9t + -5t = 4t 6 + 9t = 36 + 4t Solving 6 + 9t = 36 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 6 + 9t + -4t = 36 + 4t + -4t Combine like terms: 9t + -4t = 5t 6 + 5t = 36 + 4t + -4t Combine like terms: 4t + -4t = 0 6 + 5t = 36 + 0 6 + 5t = 36 Add '-6' to each side of the equation. 6 + -6 + 5t = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 5t = 36 + -6 5t = 36 + -6 Combine like terms: 36 + -6 = 30 5t = 30 Divide each side by '5'. t = 6 Simplifying t = 6
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