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Simplifying -6bx + 6x + 8b = 112 Reorder the terms: 8b + -6bx + 6x = 112 Solving 8b + -6bx + 6x = 112 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6x' to each side of the equation. 8b + -6bx + 6x + -6x = 112 + -6x Combine like terms: 6x + -6x = 0 8b + -6bx + 0 = 112 + -6x 8b + -6bx = 112 + -6x Reorder the terms: -112 + 8b + -6bx + 6x = 112 + -6x + -112 + 6x Reorder the terms: -112 + 8b + -6bx + 6x = 112 + -112 + -6x + 6x Combine like terms: 112 + -112 = 0 -112 + 8b + -6bx + 6x = 0 + -6x + 6x -112 + 8b + -6bx + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 -112 + 8b + -6bx + 6x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-56 + 4b + -3bx + 3x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-56 + 4b + -3bx + 3x)' equal to zero and attempt to solve: Simplifying -56 + 4b + -3bx + 3x = 0 Solving -56 + 4b + -3bx + 3x = 0 Move all terms containing b to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 4b + -3bx + 56 + 3x = 0 + 56 Reorder the terms: -56 + 56 + 4b + -3bx + 3x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + 4b + -3bx + 3x = 0 + 56 4b + -3bx + 3x = 0 + 56 Combine like terms: 0 + 56 = 56 4b + -3bx + 3x = 56 Add '-3x' to each side of the equation. 4b + -3bx + 3x + -3x = 56 + -3x Combine like terms: 3x + -3x = 0 4b + -3bx + 0 = 56 + -3x 4b + -3bx = 56 + -3x 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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