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Simplifying 7(2t + 4) = 4(7 + -2t) Reorder the terms: 7(4 + 2t) = 4(7 + -2t) (4 * 7 + 2t * 7) = 4(7 + -2t) (28 + 14t) = 4(7 + -2t) 28 + 14t = (7 * 4 + -2t * 4) 28 + 14t = (28 + -8t) Add '-28' to each side of the equation. 28 + -28 + 14t = 28 + -28 + -8t Combine like terms: 28 + -28 = 0 0 + 14t = 28 + -28 + -8t 14t = 28 + -28 + -8t Combine like terms: 28 + -28 = 0 14t = 0 + -8t 14t = -8t Solving 14t = -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 14t + 8t = -8t + 8t Combine like terms: 14t + 8t = 22t 22t = -8t + 8t Combine like terms: -8t + 8t = 0 22t = 0 Divide each side by '22'. t = 0 Simplifying t = 0
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