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Simplifying 5t + -13 = 3t + 11 Reorder the terms: -13 + 5t = 3t + 11 Reorder the terms: -13 + 5t = 11 + 3t Solving -13 + 5t = 11 + 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. -13 + 5t + -3t = 11 + 3t + -3t Combine like terms: 5t + -3t = 2t -13 + 2t = 11 + 3t + -3t Combine like terms: 3t + -3t = 0 -13 + 2t = 11 + 0 -13 + 2t = 11 Add '13' to each side of the equation. -13 + 13 + 2t = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2t = 11 + 13 2t = 11 + 13 Combine like terms: 11 + 13 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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