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Simplifying 8t + 1 = 3t + 21 Reorder the terms: 1 + 8t = 3t + 21 Reorder the terms: 1 + 8t = 21 + 3t Solving 1 + 8t = 21 + 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. 1 + 8t + -3t = 21 + 3t + -3t Combine like terms: 8t + -3t = 5t 1 + 5t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 1 + 5t = 21 + 0 1 + 5t = 21 Add '-1' to each side of the equation. 1 + -1 + 5t = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 5t = 21 + -1 5t = 21 + -1 Combine like terms: 21 + -1 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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