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Simplifying 3t + 16t + -42 = 2 + 14t Reorder the terms: -42 + 3t + 16t = 2 + 14t Combine like terms: 3t + 16t = 19t -42 + 19t = 2 + 14t Solving -42 + 19t = 2 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -42 + 19t + -14t = 2 + 14t + -14t Combine like terms: 19t + -14t = 5t -42 + 5t = 2 + 14t + -14t Combine like terms: 14t + -14t = 0 -42 + 5t = 2 + 0 -42 + 5t = 2 Add '42' to each side of the equation. -42 + 42 + 5t = 2 + 42 Combine like terms: -42 + 42 = 0 0 + 5t = 2 + 42 5t = 2 + 42 Combine like terms: 2 + 42 = 44 5t = 44 Divide each side by '5'. t = 8.8 Simplifying t = 8.8
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