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Simplifying bc = 7ab Solving bc = 7ab Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7ab' to each side of the equation. -7ab + bc = 7ab + -7ab Combine like terms: 7ab + -7ab = 0 -7ab + bc = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-7a + c) = 0Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-7a + c)' equal to zero and attempt to solve: Simplifying -7a + c = 0 Solving -7a + c = 0 Move all terms containing b to the left, all other terms to the right. Add '7a' to each side of the equation. -7a + 7a + c = 0 + 7a Combine like terms: -7a + 7a = 0 0 + c = 0 + 7a c = 0 + 7a Remove the zero: c = 7a Add '-1c' to each side of the equation. c + -1c = 7a + -1c Combine like terms: c + -1c = 0 0 = 7a + -1c Simplifying 0 = 7a + -1c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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