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Simplifying 5(t + 2) + 3(t + -1) = 31 Reorder the terms: 5(2 + t) + 3(t + -1) = 31 (2 * 5 + t * 5) + 3(t + -1) = 31 (10 + 5t) + 3(t + -1) = 31 Reorder the terms: 10 + 5t + 3(-1 + t) = 31 10 + 5t + (-1 * 3 + t * 3) = 31 10 + 5t + (-3 + 3t) = 31 Reorder the terms: 10 + -3 + 5t + 3t = 31 Combine like terms: 10 + -3 = 7 7 + 5t + 3t = 31 Combine like terms: 5t + 3t = 8t 7 + 8t = 31 Solving 7 + 8t = 31 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8t = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8t = 31 + -7 8t = 31 + -7 Combine like terms: 31 + -7 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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