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Simplifying 14(4t + 33) = 21(17 + t) Reorder the terms: 14(33 + 4t) = 21(17 + t) (33 * 14 + 4t * 14) = 21(17 + t) (462 + 56t) = 21(17 + t) 462 + 56t = (17 * 21 + t * 21) 462 + 56t = (357 + 21t) Solving 462 + 56t = 357 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. 462 + 56t + -21t = 357 + 21t + -21t Combine like terms: 56t + -21t = 35t 462 + 35t = 357 + 21t + -21t Combine like terms: 21t + -21t = 0 462 + 35t = 357 + 0 462 + 35t = 357 Add '-462' to each side of the equation. 462 + -462 + 35t = 357 + -462 Combine like terms: 462 + -462 = 0 0 + 35t = 357 + -462 35t = 357 + -462 Combine like terms: 357 + -462 = -105 35t = -105 Divide each side by '35'. t = -3 Simplifying t = -3
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