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Simplifying 4z + -5 = 9 + 2x(z + 1) Reorder the terms: -5 + 4z = 9 + 2x(z + 1) Reorder the terms: -5 + 4z = 9 + 2x(1 + z) -5 + 4z = 9 + (1 * 2x + z * 2x) -5 + 4z = 9 + (2x + 2xz) Solving -5 + 4z = 9 + 2x + 2xz Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2xz' to each side of the equation. -5 + -2xz + 4z = 9 + 2x + 2xz + -2xz Combine like terms: 2xz + -2xz = 0 -5 + -2xz + 4z = 9 + 2x + 0 -5 + -2xz + 4z = 9 + 2x Add '5' to each side of the equation. -5 + -2xz + 5 + 4z = 9 + 5 + 2x Reorder the terms: -5 + 5 + -2xz + 4z = 9 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + -2xz + 4z = 9 + 5 + 2x -2xz + 4z = 9 + 5 + 2x Combine like terms: 9 + 5 = 14 -2xz + 4z = 14 + 2x Reorder the terms: -14 + -2x + -2xz + 4z = 14 + 2x + -14 + -2x Reorder the terms: -14 + -2x + -2xz + 4z = 14 + -14 + 2x + -2x Combine like terms: 14 + -14 = 0 -14 + -2x + -2xz + 4z = 0 + 2x + -2x -14 + -2x + -2xz + 4z = 2x + -2x Combine like terms: 2x + -2x = 0 -14 + -2x + -2xz + 4z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -1x + -1xz + 2z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -1x + -1xz + 2z)' equal to zero and attempt to solve: Simplifying -7 + -1x + -1xz + 2z = 0 Solving -7 + -1x + -1xz + 2z = 0 Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1x + -1xz + 7 + 2z = 0 + 7 Reorder the terms: -7 + 7 + -1x + -1xz + 2z = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x + -1xz + 2z = 0 + 7 -1x + -1xz + 2z = 0 + 7 Combine like terms: 0 + 7 = 7 -1x + -1xz + 2z = 7 Add 'x' to each side of the equation. -1x + -1xz + x + 2z = 7 + x Reorder the terms: -1x + x + -1xz + 2z = 7 + x Combine like terms: -1x + x = 0 0 + -1xz + 2z = 7 + x -1xz + 2z = 7 + x 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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