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Simplifying 6m = 3z(6m + 12) Reorder the terms: 6m = 3z(12 + 6m) 6m = (12 * 3z + 6m * 3z) Reorder the terms: 6m = (18mz + 36z) 6m = (18mz + 36z) Solving 6m = 18mz + 36z Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18mz' to each side of the equation. 6m + -18mz = 18mz + -18mz + 36z Combine like terms: 18mz + -18mz = 0 6m + -18mz = 0 + 36z 6m + -18mz = 36z Combine like terms: 36z + -36z = 0 6m + -18mz + -36z = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(m + -3mz + -6z) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(m + -3mz + -6z)' equal to zero and attempt to solve: Simplifying m + -3mz + -6z = 0 Solving m + -3mz + -6z = 0 Move all terms containing m to the left, all other terms to the right. Add '6z' to each side of the equation. m + -3mz + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 m + -3mz + 0 = 0 + 6z m + -3mz = 0 + 6z Remove the zero: m + -3mz = 6z 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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