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Simplifying 0.35(t + 850) = 339.50 Reorder the terms: 0.35(850 + t) = 339.50 (850 * 0.35 + t * 0.35) = 339.50 (297.5 + 0.35t) = 339.50 Solving 297.5 + 0.35t = 339.50 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-297.5' to each side of the equation. 297.5 + -297.5 + 0.35t = 339.50 + -297.5 Combine like terms: 297.5 + -297.5 = 0.0 0.0 + 0.35t = 339.50 + -297.5 0.35t = 339.50 + -297.5 Combine like terms: 339.50 + -297.5 = 42 0.35t = 42 Divide each side by '0.35'. t = 120 Simplifying t = 120
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