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Simplifying 5 + 8t + -2 = 9t + 9 + -4t Reorder the terms: 5 + -2 + 8t = 9t + 9 + -4t Combine like terms: 5 + -2 = 3 3 + 8t = 9t + 9 + -4t Reorder the terms: 3 + 8t = 9 + 9t + -4t Combine like terms: 9t + -4t = 5t 3 + 8t = 9 + 5t Solving 3 + 8t = 9 + 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. 3 + 8t + -5t = 9 + 5t + -5t Combine like terms: 8t + -5t = 3t 3 + 3t = 9 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + 3t = 9 + 0 3 + 3t = 9 Add '-3' to each side of the equation. 3 + -3 + 3t = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3t = 9 + -3 3t = 9 + -3 Combine like terms: 9 + -3 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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