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Simplifying 8t + 40 + 16t + -49 = 18t + 23 Reorder the terms: 40 + -49 + 8t + 16t = 18t + 23 Combine like terms: 40 + -49 = -9 -9 + 8t + 16t = 18t + 23 Combine like terms: 8t + 16t = 24t -9 + 24t = 18t + 23 Reorder the terms: -9 + 24t = 23 + 18t Solving -9 + 24t = 23 + 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. -9 + 24t + -18t = 23 + 18t + -18t Combine like terms: 24t + -18t = 6t -9 + 6t = 23 + 18t + -18t Combine like terms: 18t + -18t = 0 -9 + 6t = 23 + 0 -9 + 6t = 23 Add '9' to each side of the equation. -9 + 9 + 6t = 23 + 9 Combine like terms: -9 + 9 = 0 0 + 6t = 23 + 9 6t = 23 + 9 Combine like terms: 23 + 9 = 32 6t = 32 Divide each side by '6'. t = 5.333333333 Simplifying t = 5.333333333
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