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Simplifying Dp + 2wp + dr + 2wt = 0 Reorder the terms: dr + pD + 2pw + 2tw = 0 Solving dr + pD + 2pw + 2tw = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1pD' to each side of the equation. dr + pD + 2pw + -1pD + 2tw = 0 + -1pD Reorder the terms: dr + pD + -1pD + 2pw + 2tw = 0 + -1pD Combine like terms: pD + -1pD = 0 dr + 0 + 2pw + 2tw = 0 + -1pD dr + 2pw + 2tw = 0 + -1pD Remove the zero: dr + 2pw + 2tw = -1pD Add '-2pw' to each side of the equation. dr + 2pw + -2pw + 2tw = -1pD + -2pw Combine like terms: 2pw + -2pw = 0 dr + 0 + 2tw = -1pD + -2pw dr + 2tw = -1pD + -2pw Add '-2tw' to each side of the equation. dr + 2tw + -2tw = -1pD + -2pw + -2tw Combine like terms: 2tw + -2tw = 0 dr + 0 = -1pD + -2pw + -2tw dr = -1pD + -2pw + -2tw Divide each side by 'r'. d = -1pr-1D + -2pr-1w + -2r-1tw Simplifying d = -1pr-1D + -2pr-1w + -2r-1tw
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