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Simplifying (4M + -11n)(3m + -2n) = 0 Multiply (4M + -11n) * (3m + -2n) (4M * (3m + -2n) + -11n * (3m + -2n)) = 0 ((3m * 4M + -2n * 4M) + -11n * (3m + -2n)) = 0 ((12mM + -8nM) + -11n * (3m + -2n)) = 0 (12mM + -8nM + (3m * -11n + -2n * -11n)) = 0 (12mM + -8nM + (-33mn + 22n2)) = 0 Reorder the terms: (12mM + -33mn + -8nM + 22n2) = 0 (12mM + -33mn + -8nM + 22n2) = 0 Solving 12mM + -33mn + -8nM + 22n2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8nM' to each side of the equation. 12mM + -33mn + -8nM + 8nM + 22n2 = 0 + 8nM Combine like terms: -8nM + 8nM = 0 12mM + -33mn + 0 + 22n2 = 0 + 8nM 12mM + -33mn + 22n2 = 0 + 8nM Remove the zero: 12mM + -33mn + 22n2 = 8nM Add '-22n2' to each side of the equation. 12mM + -33mn + 22n2 + -22n2 = 8nM + -22n2 Combine like terms: 22n2 + -22n2 = 0 12mM + -33mn + 0 = 8nM + -22n2 12mM + -33mn = 8nM + -22n2 Reorder the terms: 12mM + -33mn + -8nM + 22n2 = 8nM + -8nM + -22n2 + 22n2 Combine like terms: 8nM + -8nM = 0 12mM + -33mn + -8nM + 22n2 = 0 + -22n2 + 22n2 12mM + -33mn + -8nM + 22n2 = -22n2 + 22n2 Combine like terms: -22n2 + 22n2 = 0 12mM + -33mn + -8nM + 22n2 = 0 The solution to this equation could not be determined.
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