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Simplifying 4qr + 8r + -6q = 12 Reorder the terms: -6q + 4qr + 8r = 12 Solving -6q + 4qr + 8r = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8r' to each side of the equation. -6q + 4qr + 8r + -8r = 12 + -8r Combine like terms: 8r + -8r = 0 -6q + 4qr + 0 = 12 + -8r -6q + 4qr = 12 + -8r Reorder the terms: -12 + -6q + 4qr + 8r = 12 + -8r + -12 + 8r Reorder the terms: -12 + -6q + 4qr + 8r = 12 + -12 + -8r + 8r Combine like terms: 12 + -12 = 0 -12 + -6q + 4qr + 8r = 0 + -8r + 8r -12 + -6q + 4qr + 8r = -8r + 8r Combine like terms: -8r + 8r = 0 -12 + -6q + 4qr + 8r = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -3q + 2qr + 4r) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + -3q + 2qr + 4r)' equal to zero and attempt to solve: Simplifying -6 + -3q + 2qr + 4r = 0 Solving -6 + -3q + 2qr + 4r = 0 Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -3q + 2qr + 6 + 4r = 0 + 6 Reorder the terms: -6 + 6 + -3q + 2qr + 4r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -3q + 2qr + 4r = 0 + 6 -3q + 2qr + 4r = 0 + 6 Combine like terms: 0 + 6 = 6 -3q + 2qr + 4r = 6 Add '-4r' to each side of the equation. -3q + 2qr + 4r + -4r = 6 + -4r Combine like terms: 4r + -4r = 0 -3q + 2qr + 0 = 6 + -4r -3q + 2qr = 6 + -4r 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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