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Simplifying 7(-18.2t + 88.66) = -6(21.7t + -91.49) Reorder the terms: 7(88.66 + -18.2t) = -6(21.7t + -91.49) (88.66 * 7 + -18.2t * 7) = -6(21.7t + -91.49) (620.62 + -127.4t) = -6(21.7t + -91.49) Reorder the terms: 620.62 + -127.4t = -6(-91.49 + 21.7t) 620.62 + -127.4t = (-91.49 * -6 + 21.7t * -6) 620.62 + -127.4t = (548.94 + -130.2t) Solving 620.62 + -127.4t = 548.94 + -130.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '130.2t' to each side of the equation. 620.62 + -127.4t + 130.2t = 548.94 + -130.2t + 130.2t Combine like terms: -127.4t + 130.2t = 2.8t 620.62 + 2.8t = 548.94 + -130.2t + 130.2t Combine like terms: -130.2t + 130.2t = 0.0 620.62 + 2.8t = 548.94 + 0.0 620.62 + 2.8t = 548.94 Add '-620.62' to each side of the equation. 620.62 + -620.62 + 2.8t = 548.94 + -620.62 Combine like terms: 620.62 + -620.62 = 0.00 0.00 + 2.8t = 548.94 + -620.62 2.8t = 548.94 + -620.62 Combine like terms: 548.94 + -620.62 = -71.68 2.8t = -71.68 Divide each side by '2.8'. t = -25.6 Simplifying t = -25.6
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