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Simplifying 2(6y + 3z + -1) = 18yz + -2 Reorder the terms: 2(-1 + 6y + 3z) = 18yz + -2 (-1 * 2 + 6y * 2 + 3z * 2) = 18yz + -2 (-2 + 12y + 6z) = 18yz + -2 Reorder the terms: -2 + 12y + 6z = -2 + 18yz Add '2' to each side of the equation. -2 + 12y + 2 + 6z = -2 + 2 + 18yz Reorder the terms: -2 + 2 + 12y + 6z = -2 + 2 + 18yz Combine like terms: -2 + 2 = 0 0 + 12y + 6z = -2 + 2 + 18yz 12y + 6z = -2 + 2 + 18yz Combine like terms: -2 + 2 = 0 12y + 6z = 0 + 18yz 12y + 6z = 18yz Solving 12y + 6z = 18yz Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18yz' to each side of the equation. 12y + -18yz + 6z = 18yz + -18yz Combine like terms: 18yz + -18yz = 0 12y + -18yz + 6z = 0 Add '-6z' to each side of the equation. 12y + -18yz + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 12y + -18yz + 0 = 0 + -6z 12y + -18yz = 0 + -6z Remove the zero: 12y + -18yz = -6z Combine like terms: -6z + 6z = 0 12y + -18yz + 6z = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(2y + -3yz + z) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(2y + -3yz + z)' equal to zero and attempt to solve: Simplifying 2y + -3yz + z = 0 Solving 2y + -3yz + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 2y + -3yz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 2y + -3yz + 0 = 0 + -1z 2y + -3yz = 0 + -1z Remove the zero: 2y + -3yz = -1z 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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