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Simplifying 5t + 14t + -3 = 8t + 74 + -3t Reorder the terms: -3 + 5t + 14t = 8t + 74 + -3t Combine like terms: 5t + 14t = 19t -3 + 19t = 8t + 74 + -3t Reorder the terms: -3 + 19t = 74 + 8t + -3t Combine like terms: 8t + -3t = 5t -3 + 19t = 74 + 5t Solving -3 + 19t = 74 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -3 + 19t + -5t = 74 + 5t + -5t Combine like terms: 19t + -5t = 14t -3 + 14t = 74 + 5t + -5t Combine like terms: 5t + -5t = 0 -3 + 14t = 74 + 0 -3 + 14t = 74 Add '3' to each side of the equation. -3 + 3 + 14t = 74 + 3 Combine like terms: -3 + 3 = 0 0 + 14t = 74 + 3 14t = 74 + 3 Combine like terms: 74 + 3 = 77 14t = 77 Divide each side by '14'. t = 5.5 Simplifying t = 5.5
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