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Simplifying f + f + f + d + f + g + h + f + d + g + f + 5 = 100 Reorder the terms: 5 + d + d + f + f + f + f + f + f + g + g + h = 100 Combine like terms: d + d = 2d 5 + 2d + f + f + f + f + f + f + g + g + h = 100 Combine like terms: f + f = 2f 5 + 2d + 2f + f + f + f + f + g + g + h = 100 Combine like terms: 2f + f = 3f 5 + 2d + 3f + f + f + f + g + g + h = 100 Combine like terms: 3f + f = 4f 5 + 2d + 4f + f + f + g + g + h = 100 Combine like terms: 4f + f = 5f 5 + 2d + 5f + f + g + g + h = 100 Combine like terms: 5f + f = 6f 5 + 2d + 6f + g + g + h = 100 Combine like terms: g + g = 2g 5 + 2d + 6f + 2g + h = 100 Solving 5 + 2d + 6f + 2g + h = 100 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 2d + 6f + 2g + -5 + h = 100 + -5 Reorder the terms: 5 + -5 + 2d + 6f + 2g + h = 100 + -5 Combine like terms: 5 + -5 = 0 0 + 2d + 6f + 2g + h = 100 + -5 2d + 6f + 2g + h = 100 + -5 Combine like terms: 100 + -5 = 95 2d + 6f + 2g + h = 95 Add '-6f' to each side of the equation. 2d + 6f + 2g + -6f + h = 95 + -6f Reorder the terms: 2d + 6f + -6f + 2g + h = 95 + -6f Combine like terms: 6f + -6f = 0 2d + 0 + 2g + h = 95 + -6f 2d + 2g + h = 95 + -6f Add '-2g' to each side of the equation. 2d + 2g + -2g + h = 95 + -6f + -2g Combine like terms: 2g + -2g = 0 2d + 0 + h = 95 + -6f + -2g 2d + h = 95 + -6f + -2g Add '-1h' to each side of the equation. 2d + h + -1h = 95 + -6f + -2g + -1h Combine like terms: h + -1h = 0 2d + 0 = 95 + -6f + -2g + -1h 2d = 95 + -6f + -2g + -1h Divide each side by '2'. d = 47.5 + -3f + -1g + -0.5h Simplifying d = 47.5 + -3f + -1g + -0.5h
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