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Simplifying 500 + 3.50t = 7.70t Solving 500 + 3.50t = 7.70t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7.70t' to each side of the equation. 500 + 3.50t + -7.70t = 7.70t + -7.70t Combine like terms: 3.50t + -7.70t = -4.2t 500 + -4.2t = 7.70t + -7.70t Combine like terms: 7.70t + -7.70t = 0.00 500 + -4.2t = 0.00 Add '-500' to each side of the equation. 500 + -500 + -4.2t = 0.00 + -500 Combine like terms: 500 + -500 = 0 0 + -4.2t = 0.00 + -500 -4.2t = 0.00 + -500 Combine like terms: 0.00 + -500 = -500 -4.2t = -500 Divide each side by '-4.2'. t = 119.047619 Simplifying t = 119.047619
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