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Simplifying 2mn + -3m + 8n + -12 = (m + 4) Reorder the terms: -12 + -3m + 2mn + 8n = (m + 4) Reorder the terms: -12 + -3m + 2mn + 8n = (4 + m) Remove parenthesis around (4 + m) -12 + -3m + 2mn + 8n = 4 + m Solving -12 + -3m + 2mn + 8n = 4 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -12 + -3m + 2mn + -1m + 8n = 4 + m + -1m Reorder the terms: -12 + -3m + -1m + 2mn + 8n = 4 + m + -1m Combine like terms: -3m + -1m = -4m -12 + -4m + 2mn + 8n = 4 + m + -1m Combine like terms: m + -1m = 0 -12 + -4m + 2mn + 8n = 4 + 0 -12 + -4m + 2mn + 8n = 4 Add '12' to each side of the equation. -12 + -4m + 2mn + 12 + 8n = 4 + 12 Reorder the terms: -12 + 12 + -4m + 2mn + 8n = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -4m + 2mn + 8n = 4 + 12 -4m + 2mn + 8n = 4 + 12 Combine like terms: 4 + 12 = 16 -4m + 2mn + 8n = 16 Add '-8n' to each side of the equation. -4m + 2mn + 8n + -8n = 16 + -8n Combine like terms: 8n + -8n = 0 -4m + 2mn + 0 = 16 + -8n -4m + 2mn = 16 + -8n Reorder the terms: -16 + -4m + 2mn + 8n = 16 + -8n + -16 + 8n Reorder the terms: -16 + -4m + 2mn + 8n = 16 + -16 + -8n + 8n Combine like terms: 16 + -16 = 0 -16 + -4m + 2mn + 8n = 0 + -8n + 8n -16 + -4m + 2mn + 8n = -8n + 8n Combine like terms: -8n + 8n = 0 -16 + -4m + 2mn + 8n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -2m + mn + 4n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -2m + mn + 4n)' equal to zero and attempt to solve: Simplifying -8 + -2m + mn + 4n = 0 Solving -8 + -2m + mn + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2m + mn + 8 + 4n = 0 + 8 Reorder the terms: -8 + 8 + -2m + mn + 4n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2m + mn + 4n = 0 + 8 -2m + mn + 4n = 0 + 8 Combine like terms: 0 + 8 = 8 -2m + mn + 4n = 8 Add '-4n' to each side of the equation. -2m + mn + 4n + -4n = 8 + -4n Combine like terms: 4n + -4n = 0 -2m + mn + 0 = 8 + -4n -2m + mn = 8 + -4n 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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