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Simplifying 8b(3m + 4n) + 6(5w + 8) = 0 (3m * 8b + 4n * 8b) + 6(5w + 8) = 0 (24bm + 32bn) + 6(5w + 8) = 0 Reorder the terms: 24bm + 32bn + 6(8 + 5w) = 0 24bm + 32bn + (8 * 6 + 5w * 6) = 0 24bm + 32bn + (48 + 30w) = 0 Reorder the terms: 48 + 24bm + 32bn + 30w = 0 Solving 48 + 24bm + 32bn + 30w = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 24bm + 32bn + -48 + 30w = 0 + -48 Reorder the terms: 48 + -48 + 24bm + 32bn + 30w = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 24bm + 32bn + 30w = 0 + -48 24bm + 32bn + 30w = 0 + -48 Combine like terms: 0 + -48 = -48 24bm + 32bn + 30w = -48 Add '-30w' to each side of the equation. 24bm + 32bn + 30w + -30w = -48 + -30w Combine like terms: 30w + -30w = 0 24bm + 32bn + 0 = -48 + -30w 24bm + 32bn = -48 + -30w Reorder the terms: 48 + 24bm + 32bn + 30w = -48 + -30w + 48 + 30w Reorder the terms: 48 + 24bm + 32bn + 30w = -48 + 48 + -30w + 30w Combine like terms: -48 + 48 = 0 48 + 24bm + 32bn + 30w = 0 + -30w + 30w 48 + 24bm + 32bn + 30w = -30w + 30w Combine like terms: -30w + 30w = 0 48 + 24bm + 32bn + 30w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 12bm + 16bn + 15w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + 12bm + 16bn + 15w)' equal to zero and attempt to solve: Simplifying 24 + 12bm + 16bn + 15w = 0 Solving 24 + 12bm + 16bn + 15w = 0 Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 12bm + 16bn + -24 + 15w = 0 + -24 Reorder the terms: 24 + -24 + 12bm + 16bn + 15w = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12bm + 16bn + 15w = 0 + -24 12bm + 16bn + 15w = 0 + -24 Combine like terms: 0 + -24 = -24 12bm + 16bn + 15w = -24 Add '-15w' to each side of the equation. 12bm + 16bn + 15w + -15w = -24 + -15w Combine like terms: 15w + -15w = 0 12bm + 16bn + 0 = -24 + -15w 12bm + 16bn = -24 + -15w The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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