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Simplifying 8t + 3(5 + -1t) = 10 8t + (5 * 3 + -1t * 3) = 10 8t + (15 + -3t) = 10 Reorder the terms: 15 + 8t + -3t = 10 Combine like terms: 8t + -3t = 5t 15 + 5t = 10 Solving 15 + 5t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5t = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 5t = 10 + -15 5t = 10 + -15 Combine like terms: 10 + -15 = -5 5t = -5 Divide each side by '5'. t = -1 Simplifying t = -1
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