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Simplifying 380d + 60t + 760d = 120t + 1080d + 180t Reorder the terms: 380d + 760d + 60t = 120t + 1080d + 180t Combine like terms: 380d + 760d = 1140d 1140d + 60t = 120t + 1080d + 180t Reorder the terms: 1140d + 60t = 1080d + 120t + 180t Combine like terms: 120t + 180t = 300t 1140d + 60t = 1080d + 300t Solving 1140d + 60t = 1080d + 300t Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1080d' to each side of the equation. 1140d + -1080d + 60t = 1080d + -1080d + 300t Combine like terms: 1140d + -1080d = 60d 60d + 60t = 1080d + -1080d + 300t Combine like terms: 1080d + -1080d = 0 60d + 60t = 0 + 300t 60d + 60t = 300t Add '-60t' to each side of the equation. 60d + 60t + -60t = 300t + -60t Combine like terms: 60t + -60t = 0 60d + 0 = 300t + -60t 60d = 300t + -60t Combine like terms: 300t + -60t = 240t 60d = 240t Divide each side by '60'. d = 4t Simplifying d = 4t
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