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Simplifying -4d + dn + -19d + 13dn + -12dn + 6b + 16b = 0 Reorder the terms: 6b + 16b + -4d + -19d + dn + 13dn + -12dn = 0 Combine like terms: 6b + 16b = 22b 22b + -4d + -19d + dn + 13dn + -12dn = 0 Combine like terms: -4d + -19d = -23d 22b + -23d + dn + 13dn + -12dn = 0 Combine like terms: dn + 13dn = 14dn 22b + -23d + 14dn + -12dn = 0 Combine like terms: 14dn + -12dn = 2dn 22b + -23d + 2dn = 0 Solving 22b + -23d + 2dn = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '23d' to each side of the equation. 22b + -23d + 23d + 2dn = 0 + 23d Combine like terms: -23d + 23d = 0 22b + 0 + 2dn = 0 + 23d 22b + 2dn = 0 + 23d Remove the zero: 22b + 2dn = 23d Add '-2dn' to each side of the equation. 22b + 2dn + -2dn = 23d + -2dn Combine like terms: 2dn + -2dn = 0 22b + 0 = 23d + -2dn 22b = 23d + -2dn Divide each side by '22'. b = 1.045454545d + -0.09090909091dn Simplifying b = 1.045454545d + -0.09090909091dn
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