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Simplifying 30t + 70(7 + -1t) = 385 30t + (7 * 70 + -1t * 70) = 385 30t + (490 + -70t) = 385 Reorder the terms: 490 + 30t + -70t = 385 Combine like terms: 30t + -70t = -40t 490 + -40t = 385 Solving 490 + -40t = 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 + -40t = 385 + -490 Combine like terms: 490 + -490 = 0 0 + -40t = 385 + -490 -40t = 385 + -490 Combine like terms: 385 + -490 = -105 -40t = -105 Divide each side by '-40'. t = 2.625 Simplifying t = 2.625
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