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Simplifying 42 = 8t + 4(t + 5) Reorder the terms: 42 = 8t + 4(5 + t) 42 = 8t + (5 * 4 + t * 4) 42 = 8t + (20 + 4t) Reorder the terms: 42 = 20 + 8t + 4t Combine like terms: 8t + 4t = 12t 42 = 20 + 12t Solving 42 = 20 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 42 + -12t = 20 + 12t + -12t Combine like terms: 12t + -12t = 0 42 + -12t = 20 + 0 42 + -12t = 20 Add '-42' to each side of the equation. 42 + -42 + -12t = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -12t = 20 + -42 -12t = 20 + -42 Combine like terms: 20 + -42 = -22 -12t = -22 Divide each side by '-12'. t = 1.833333333 Simplifying t = 1.833333333
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