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