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Simplifying -3w(b + -8) + -5 = 9(b + 2) + 1 Reorder the terms: -3w(-8 + b) + -5 = 9(b + 2) + 1 (-8 * -3w + b * -3w) + -5 = 9(b + 2) + 1 Reorder the terms: (-3bw + 24w) + -5 = 9(b + 2) + 1 (-3bw + 24w) + -5 = 9(b + 2) + 1 Reorder the terms: -5 + -3bw + 24w = 9(b + 2) + 1 Reorder the terms: -5 + -3bw + 24w = 9(2 + b) + 1 -5 + -3bw + 24w = (2 * 9 + b * 9) + 1 -5 + -3bw + 24w = (18 + 9b) + 1 Reorder the terms: -5 + -3bw + 24w = 18 + 1 + 9b Combine like terms: 18 + 1 = 19 -5 + -3bw + 24w = 19 + 9b Solving -5 + -3bw + 24w = 19 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -5 + -3bw + -9b + 24w = 19 + 9b + -9b Reorder the terms: -5 + -9b + -3bw + 24w = 19 + 9b + -9b Combine like terms: 9b + -9b = 0 -5 + -9b + -3bw + 24w = 19 + 0 -5 + -9b + -3bw + 24w = 19 Add '5' to each side of the equation. -5 + -9b + -3bw + 5 + 24w = 19 + 5 Reorder the terms: -5 + 5 + -9b + -3bw + 24w = 19 + 5 Combine like terms: -5 + 5 = 0 0 + -9b + -3bw + 24w = 19 + 5 -9b + -3bw + 24w = 19 + 5 Combine like terms: 19 + 5 = 24 -9b + -3bw + 24w = 24 Add '-24w' to each side of the equation. -9b + -3bw + 24w + -24w = 24 + -24w Combine like terms: 24w + -24w = 0 -9b + -3bw + 0 = 24 + -24w -9b + -3bw = 24 + -24w Reorder the terms: -24 + -9b + -3bw + 24w = 24 + -24w + -24 + 24w Reorder the terms: -24 + -9b + -3bw + 24w = 24 + -24 + -24w + 24w Combine like terms: 24 + -24 = 0 -24 + -9b + -3bw + 24w = 0 + -24w + 24w -24 + -9b + -3bw + 24w = -24w + 24w Combine like terms: -24w + 24w = 0 -24 + -9b + -3bw + 24w = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -3b + -1bw + 8w) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -3b + -1bw + 8w)' equal to zero and attempt to solve: Simplifying -8 + -3b + -1bw + 8w = 0 Solving -8 + -3b + -1bw + 8w = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3b + -1bw + 8 + 8w = 0 + 8 Reorder the terms: -8 + 8 + -3b + -1bw + 8w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3b + -1bw + 8w = 0 + 8 -3b + -1bw + 8w = 0 + 8 Combine like terms: 0 + 8 = 8 -3b + -1bw + 8w = 8 Add '-8w' to each side of the equation. -3b + -1bw + 8w + -8w = 8 + -8w Combine like terms: 8w + -8w = 0 -3b + -1bw + 0 = 8 + -8w -3b + -1bw = 8 + -8w 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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