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Simplifying 3t + 6 + 5t + -1t + -4t = 42 Reorder the terms: 6 + 3t + 5t + -1t + -4t = 42 Combine like terms: 3t + 5t = 8t 6 + 8t + -1t + -4t = 42 Combine like terms: 8t + -1t = 7t 6 + 7t + -4t = 42 Combine like terms: 7t + -4t = 3t 6 + 3t = 42 Solving 6 + 3t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3t = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = 42 + -6 3t = 42 + -6 Combine like terms: 42 + -6 = 36 3t = 36 Divide each side by '3'. t = 12 Simplifying t = 12
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