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