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Simplifying (5 + t) * 4 + 18t = 42 Reorder the terms for easier multiplication: 4(5 + t) + 18t = 42 (5 * 4 + t * 4) + 18t = 42 (20 + 4t) + 18t = 42 Combine like terms: 4t + 18t = 22t 20 + 22t = 42 Solving 20 + 22t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 22t = 42 + -20 Combine like terms: 20 + -20 = 0 0 + 22t = 42 + -20 22t = 42 + -20 Combine like terms: 42 + -20 = 22 22t = 22 Divide each side by '22'. t = 1 Simplifying t = 1
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