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Simplifying 8t + -2 = 3t + 13 Reorder the terms: -2 + 8t = 3t + 13 Reorder the terms: -2 + 8t = 13 + 3t Solving -2 + 8t = 13 + 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. -2 + 8t + -3t = 13 + 3t + -3t Combine like terms: 8t + -3t = 5t -2 + 5t = 13 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + 5t = 13 + 0 -2 + 5t = 13 Add '2' to each side of the equation. -2 + 2 + 5t = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5t = 13 + 2 5t = 13 + 2 Combine like terms: 13 + 2 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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