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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) Solving -28 + 14t = 28 + -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. -28 + 14t + 8t = 28 + -8t + 8t Combine like terms: 14t + 8t = 22t -28 + 22t = 28 + -8t + 8t Combine like terms: -8t + 8t = 0 -28 + 22t = 28 + 0 -28 + 22t = 28 Add '28' to each side of the equation. -28 + 28 + 22t = 28 + 28 Combine like terms: -28 + 28 = 0 0 + 22t = 28 + 28 22t = 28 + 28 Combine like terms: 28 + 28 = 56 22t = 56 Divide each side by '22'. t = 2.545454545 Simplifying t = 2.545454545
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