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Simplifying 3t + 6 + 5t + -1 + -4t = 42 Reorder the terms: 6 + -1 + 3t + 5t + -4t = 42 Combine like terms: 6 + -1 = 5 5 + 3t + 5t + -4t = 42 Combine like terms: 3t + 5t = 8t 5 + 8t + -4t = 42 Combine like terms: 8t + -4t = 4t 5 + 4t = 42 Solving 5 + 4t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4t = 42 + -5 Combine like terms: 5 + -5 = 0 0 + 4t = 42 + -5 4t = 42 + -5 Combine like terms: 42 + -5 = 37 4t = 37 Divide each side by '4'. t = 9.25 Simplifying t = 9.25
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