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Simplifying 2(2t + 4) = 34(24 + -8t) Reorder the terms: 2(4 + 2t) = 34(24 + -8t) (4 * 2 + 2t * 2) = 34(24 + -8t) (8 + 4t) = 34(24 + -8t) 8 + 4t = (24 * 34 + -8t * 34) 8 + 4t = (816 + -272t) Solving 8 + 4t = 816 + -272t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '272t' to each side of the equation. 8 + 4t + 272t = 816 + -272t + 272t Combine like terms: 4t + 272t = 276t 8 + 276t = 816 + -272t + 272t Combine like terms: -272t + 272t = 0 8 + 276t = 816 + 0 8 + 276t = 816 Add '-8' to each side of the equation. 8 + -8 + 276t = 816 + -8 Combine like terms: 8 + -8 = 0 0 + 276t = 816 + -8 276t = 816 + -8 Combine like terms: 816 + -8 = 808 276t = 808 Divide each side by '276'. t = 2.927536232 Simplifying t = 2.927536232
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