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Simplifying 5t + -20 = (3t + 1) Reorder the terms: -20 + 5t = (3t + 1) Reorder the terms: -20 + 5t = (1 + 3t) Remove parenthesis around (1 + 3t) -20 + 5t = 1 + 3t Solving -20 + 5t = 1 + 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. -20 + 5t + -3t = 1 + 3t + -3t Combine like terms: 5t + -3t = 2t -20 + 2t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 -20 + 2t = 1 + 0 -20 + 2t = 1 Add '20' to each side of the equation. -20 + 20 + 2t = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 2t = 1 + 20 2t = 1 + 20 Combine like terms: 1 + 20 = 21 2t = 21 Divide each side by '2'. t = 10.5 Simplifying t = 10.5
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