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