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Simplifying 8t + -2 = 5t + 7 Reorder the terms: -2 + 8t = 5t + 7 Reorder the terms: -2 + 8t = 7 + 5t Solving -2 + 8t = 7 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -2 + 8t + -5t = 7 + 5t + -5t Combine like terms: 8t + -5t = 3t -2 + 3t = 7 + 5t + -5t Combine like terms: 5t + -5t = 0 -2 + 3t = 7 + 0 -2 + 3t = 7 Add '2' to each side of the equation. -2 + 2 + 3t = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 3t = 7 + 2 3t = 7 + 2 Combine like terms: 7 + 2 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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