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Simplifying 5t + 2t + 2t + -3t + -3t + -2 = 13 Reorder the terms: -2 + 5t + 2t + 2t + -3t + -3t = 13 Combine like terms: 5t + 2t = 7t -2 + 7t + 2t + -3t + -3t = 13 Combine like terms: 7t + 2t = 9t -2 + 9t + -3t + -3t = 13 Combine like terms: 9t + -3t = 6t -2 + 6t + -3t = 13 Combine like terms: 6t + -3t = 3t -2 + 3t = 13 Solving -2 + 3t = 13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 3t = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 13 + 2 3t = 13 + 2 Combine like terms: 13 + 2 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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