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Simplifying 4t + -5 + 8t = 7t + 42 Reorder the terms: -5 + 4t + 8t = 7t + 42 Combine like terms: 4t + 8t = 12t -5 + 12t = 7t + 42 Reorder the terms: -5 + 12t = 42 + 7t Solving -5 + 12t = 42 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -5 + 12t + -7t = 42 + 7t + -7t Combine like terms: 12t + -7t = 5t -5 + 5t = 42 + 7t + -7t Combine like terms: 7t + -7t = 0 -5 + 5t = 42 + 0 -5 + 5t = 42 Add '5' to each side of the equation. -5 + 5 + 5t = 42 + 5 Combine like terms: -5 + 5 = 0 0 + 5t = 42 + 5 5t = 42 + 5 Combine like terms: 42 + 5 = 47 5t = 47 Divide each side by '5'. t = 9.4 Simplifying t = 9.4
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