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Simplifying 2mn + -3m + 8n + -12 = 4m + 16 Reorder the terms: -12 + -3m + 2mn + 8n = 4m + 16 Reorder the terms: -12 + -3m + 2mn + 8n = 16 + 4m Solving -12 + -3m + 2mn + 8n = 16 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -12 + -3m + 2mn + -4m + 8n = 16 + 4m + -4m Reorder the terms: -12 + -3m + -4m + 2mn + 8n = 16 + 4m + -4m Combine like terms: -3m + -4m = -7m -12 + -7m + 2mn + 8n = 16 + 4m + -4m Combine like terms: 4m + -4m = 0 -12 + -7m + 2mn + 8n = 16 + 0 -12 + -7m + 2mn + 8n = 16 Add '12' to each side of the equation. -12 + -7m + 2mn + 12 + 8n = 16 + 12 Reorder the terms: -12 + 12 + -7m + 2mn + 8n = 16 + 12 Combine like terms: -12 + 12 = 0 0 + -7m + 2mn + 8n = 16 + 12 -7m + 2mn + 8n = 16 + 12 Combine like terms: 16 + 12 = 28 -7m + 2mn + 8n = 28 Add '-8n' to each side of the equation. -7m + 2mn + 8n + -8n = 28 + -8n Combine like terms: 8n + -8n = 0 -7m + 2mn + 0 = 28 + -8n -7m + 2mn = 28 + -8n Reorder the terms: -28 + -7m + 2mn + 8n = 28 + -8n + -28 + 8n Reorder the terms: -28 + -7m + 2mn + 8n = 28 + -28 + -8n + 8n Combine like terms: 28 + -28 = 0 -28 + -7m + 2mn + 8n = 0 + -8n + 8n -28 + -7m + 2mn + 8n = -8n + 8n Combine like terms: -8n + 8n = 0 -28 + -7m + 2mn + 8n = 0 The solution to this equation could not be determined.
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