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Simplifying -4d + dm + -19d + 13dn + 6b + 16b = 0 Reorder the terms: 6b + 16b + -4d + -19d + dm + 13dn = 0 Combine like terms: 6b + 16b = 22b 22b + -4d + -19d + dm + 13dn = 0 Combine like terms: -4d + -19d = -23d 22b + -23d + dm + 13dn = 0 Solving 22b + -23d + dm + 13dn = 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 + dm + 23d + 13dn = 0 + 23d Reorder the terms: 22b + -23d + 23d + dm + 13dn = 0 + 23d Combine like terms: -23d + 23d = 0 22b + 0 + dm + 13dn = 0 + 23d 22b + dm + 13dn = 0 + 23d Remove the zero: 22b + dm + 13dn = 23d Add '-1dm' to each side of the equation. 22b + dm + -1dm + 13dn = 23d + -1dm Combine like terms: dm + -1dm = 0 22b + 0 + 13dn = 23d + -1dm 22b + 13dn = 23d + -1dm Add '-13dn' to each side of the equation. 22b + 13dn + -13dn = 23d + -1dm + -13dn Combine like terms: 13dn + -13dn = 0 22b + 0 = 23d + -1dm + -13dn 22b = 23d + -1dm + -13dn Divide each side by '22'. b = 1.045454545d + -0.04545454545dm + -0.5909090909dn Simplifying b = 1.045454545d + -0.04545454545dm + -0.5909090909dn
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