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Simplifying 35t + 70(7 + -1t) = 386 35t + (7 * 70 + -1t * 70) = 386 35t + (490 + -70t) = 386 Reorder the terms: 490 + 35t + -70t = 386 Combine like terms: 35t + -70t = -35t 490 + -35t = 386 Solving 490 + -35t = 386 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-490' to each side of the equation. 490 + -490 + -35t = 386 + -490 Combine like terms: 490 + -490 = 0 0 + -35t = 386 + -490 -35t = 386 + -490 Combine like terms: 386 + -490 = -104 -35t = -104 Divide each side by '-35'. t = 2.971428571 Simplifying t = 2.971428571
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