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Simplifying (4m + -3y)(3M + 5) = 0 Reorder the terms: (4m + -3y)(5 + 3M) = 0 Multiply (4m + -3y) * (5 + 3M) (4m * (5 + 3M) + -3y * (5 + 3M)) = 0 ((5 * 4m + 3M * 4m) + -3y * (5 + 3M)) = 0 ((20m + 12mM) + -3y * (5 + 3M)) = 0 (20m + 12mM + (5 * -3y + 3M * -3y)) = 0 (20m + 12mM + (-15y + -9yM)) = 0 (20m + 12mM + -15y + -9yM) = 0 Solving 20m + 12mM + -15y + -9yM = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15y' to each side of the equation. 20m + 12mM + -15y + 15y + -9yM = 0 + 15y Combine like terms: -15y + 15y = 0 20m + 12mM + 0 + -9yM = 0 + 15y 20m + 12mM + -9yM = 0 + 15y Remove the zero: 20m + 12mM + -9yM = 15y Add '9yM' to each side of the equation. 20m + 12mM + -9yM + 9yM = 15y + 9yM Combine like terms: -9yM + 9yM = 0 20m + 12mM + 0 = 15y + 9yM 20m + 12mM = 15y + 9yM Reorder the terms: 20m + 12mM + -15y + -9yM = 15y + -15y + 9yM + -9yM Combine like terms: 15y + -15y = 0 20m + 12mM + -15y + -9yM = 0 + 9yM + -9yM 20m + 12mM + -15y + -9yM = 9yM + -9yM Combine like terms: 9yM + -9yM = 0 20m + 12mM + -15y + -9yM = 0 The solution to this equation could not be determined.
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