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Simplifying 8(t + 5) + -3t + 6 = 71 Reorder the terms: 8(5 + t) + -3t + 6 = 71 (5 * 8 + t * 8) + -3t + 6 = 71 (40 + 8t) + -3t + 6 = 71 Reorder the terms: 40 + 6 + 8t + -3t = 71 Combine like terms: 40 + 6 = 46 46 + 8t + -3t = 71 Combine like terms: 8t + -3t = 5t 46 + 5t = 71 Solving 46 + 5t = 71 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 5t = 71 + -46 Combine like terms: 46 + -46 = 0 0 + 5t = 71 + -46 5t = 71 + -46 Combine like terms: 71 + -46 = 25 5t = 25 Divide each side by '5'. t = 5 Simplifying t = 5
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