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Simplifying 5t + 8 + 2t = 23 + -18t + 9 Reorder the terms: 8 + 5t + 2t = 23 + -18t + 9 Combine like terms: 5t + 2t = 7t 8 + 7t = 23 + -18t + 9 Reorder the terms: 8 + 7t = 23 + 9 + -18t Combine like terms: 23 + 9 = 32 8 + 7t = 32 + -18t Solving 8 + 7t = 32 + -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. 8 + 7t + 18t = 32 + -18t + 18t Combine like terms: 7t + 18t = 25t 8 + 25t = 32 + -18t + 18t Combine like terms: -18t + 18t = 0 8 + 25t = 32 + 0 8 + 25t = 32 Add '-8' to each side of the equation. 8 + -8 + 25t = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 25t = 32 + -8 25t = 32 + -8 Combine like terms: 32 + -8 = 24 25t = 24 Divide each side by '25'. t = 0.96 Simplifying t = 0.96
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