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Simplifying 8t + -7 = 5t + -1 Reorder the terms: -7 + 8t = 5t + -1 Reorder the terms: -7 + 8t = -1 + 5t Solving -7 + 8t = -1 + 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. -7 + 8t + -5t = -1 + 5t + -5t Combine like terms: 8t + -5t = 3t -7 + 3t = -1 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + 3t = -1 + 0 -7 + 3t = -1 Add '7' to each side of the equation. -7 + 7 + 3t = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 3t = -1 + 7 3t = -1 + 7 Combine like terms: -1 + 7 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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