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Simplifying 5t + 2(11 + -4t) = 82 + t 5t + (11 * 2 + -4t * 2) = 82 + t 5t + (22 + -8t) = 82 + t Reorder the terms: 22 + 5t + -8t = 82 + t Combine like terms: 5t + -8t = -3t 22 + -3t = 82 + t Solving 22 + -3t = 82 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 22 + -3t + -1t = 82 + t + -1t Combine like terms: -3t + -1t = -4t 22 + -4t = 82 + t + -1t Combine like terms: t + -1t = 0 22 + -4t = 82 + 0 22 + -4t = 82 Add '-22' to each side of the equation. 22 + -22 + -4t = 82 + -22 Combine like terms: 22 + -22 = 0 0 + -4t = 82 + -22 -4t = 82 + -22 Combine like terms: 82 + -22 = 60 -4t = 60 Divide each side by '-4'. t = -15 Simplifying t = -15
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