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Simplifying (2t + 4) = (14 + -3t) Reorder the terms: (4 + 2t) = (14 + -3t) Remove parenthesis around (4 + 2t) 4 + 2t = (14 + -3t) Remove parenthesis around (14 + -3t) 4 + 2t = 14 + -3t Solving 4 + 2t = 14 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 4 + 2t + 3t = 14 + -3t + 3t Combine like terms: 2t + 3t = 5t 4 + 5t = 14 + -3t + 3t Combine like terms: -3t + 3t = 0 4 + 5t = 14 + 0 4 + 5t = 14 Add '-4' to each side of the equation. 4 + -4 + 5t = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5t = 14 + -4 5t = 14 + -4 Combine like terms: 14 + -4 = 10 5t = 10 Divide each side by '5'. t = 2 Simplifying t = 2
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