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Simplifying 2mn + -3m + 8n + -12 = (m + 4)(x + -3) Reorder the terms: -12 + -3m + 2mn + 8n = (m + 4)(x + -3) Reorder the terms: -12 + -3m + 2mn + 8n = (4 + m)(x + -3) Reorder the terms: -12 + -3m + 2mn + 8n = (4 + m)(-3 + x) Multiply (4 + m) * (-3 + x) -12 + -3m + 2mn + 8n = (4(-3 + x) + m(-3 + x)) -12 + -3m + 2mn + 8n = ((-3 * 4 + x * 4) + m(-3 + x)) -12 + -3m + 2mn + 8n = ((-12 + 4x) + m(-3 + x)) -12 + -3m + 2mn + 8n = (-12 + 4x + (-3 * m + x * m)) -12 + -3m + 2mn + 8n = (-12 + 4x + (-3m + mx)) Reorder the terms: -12 + -3m + 2mn + 8n = (-12 + -3m + mx + 4x) -12 + -3m + 2mn + 8n = (-12 + -3m + mx + 4x) Add '12' to each side of the equation. -12 + -3m + 2mn + 12 + 8n = -12 + -3m + mx + 12 + 4x Reorder the terms: -12 + 12 + -3m + 2mn + 8n = -12 + -3m + mx + 12 + 4x Combine like terms: -12 + 12 = 0 0 + -3m + 2mn + 8n = -12 + -3m + mx + 12 + 4x -3m + 2mn + 8n = -12 + -3m + mx + 12 + 4x Reorder the terms: -3m + 2mn + 8n = -12 + 12 + -3m + mx + 4x Combine like terms: -12 + 12 = 0 -3m + 2mn + 8n = 0 + -3m + mx + 4x -3m + 2mn + 8n = -3m + mx + 4x Add '3m' to each side of the equation. -3m + 2mn + 3m + 8n = -3m + mx + 3m + 4x Reorder the terms: -3m + 3m + 2mn + 8n = -3m + mx + 3m + 4x Combine like terms: -3m + 3m = 0 0 + 2mn + 8n = -3m + mx + 3m + 4x 2mn + 8n = -3m + mx + 3m + 4x Reorder the terms: 2mn + 8n = -3m + 3m + mx + 4x Combine like terms: -3m + 3m = 0 2mn + 8n = 0 + mx + 4x 2mn + 8n = mx + 4x Solving 2mn + 8n = mx + 4x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1mx' to each side of the equation. 2mn + -1mx + 8n = mx + -1mx + 4x Combine like terms: mx + -1mx = 0 2mn + -1mx + 8n = 0 + 4x 2mn + -1mx + 8n = 4x Add '-8n' to each side of the equation. 2mn + -1mx + 8n + -8n = -8n + 4x Combine like terms: 8n + -8n = 0 2mn + -1mx + 0 = -8n + 4x 2mn + -1mx = -8n + 4x Reorder the terms: 2mn + -1mx + 8n + -4x = -8n + 8n + 4x + -4x Combine like terms: -8n + 8n = 0 2mn + -1mx + 8n + -4x = 0 + 4x + -4x 2mn + -1mx + 8n + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 2mn + -1mx + 8n + -4x = 0 The solution to this equation could not be determined.
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