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Simplifying 35t + 70(7 + t) = 385 35t + (7 * 70 + t * 70) = 385 35t + (490 + 70t) = 385 Reorder the terms: 490 + 35t + 70t = 385 Combine like terms: 35t + 70t = 105t 490 + 105t = 385 Solving 490 + 105t = 385 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 + 105t = 385 + -490 Combine like terms: 490 + -490 = 0 0 + 105t = 385 + -490 105t = 385 + -490 Combine like terms: 385 + -490 = -105 105t = -105 Divide each side by '105'. t = -1 Simplifying t = -1
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