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Simplifying (M + 6)(2m + -5) = 0 Reorder the terms: (6 + M)(2m + -5) = 0 Reorder the terms: (6 + M)(-5 + 2m) = 0 Multiply (6 + M) * (-5 + 2m) (6(-5 + 2m) + M(-5 + 2m)) = 0 ((-5 * 6 + 2m * 6) + M(-5 + 2m)) = 0 ((-30 + 12m) + M(-5 + 2m)) = 0 (-30 + 12m + (-5 * M + 2m * M)) = 0 (-30 + 12m + (-5M + 2mM)) = 0 Reorder the terms: (-30 + -5M + 12m + 2mM) = 0 (-30 + -5M + 12m + 2mM) = 0 Solving -30 + -5M + 12m + 2mM = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -5M + 12m + 30 + 2mM = 0 + 30 Reorder the terms: -30 + 30 + -5M + 12m + 2mM = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -5M + 12m + 2mM = 0 + 30 -5M + 12m + 2mM = 0 + 30 Combine like terms: 0 + 30 = 30 -5M + 12m + 2mM = 30 Add '-12m' to each side of the equation. -5M + 12m + -12m + 2mM = 30 + -12m Combine like terms: 12m + -12m = 0 -5M + 0 + 2mM = 30 + -12m -5M + 2mM = 30 + -12m Reorder the terms: -30 + -5M + 12m + 2mM = 30 + -12m + -30 + 12m Reorder the terms: -30 + -5M + 12m + 2mM = 30 + -30 + -12m + 12m Combine like terms: 30 + -30 = 0 -30 + -5M + 12m + 2mM = 0 + -12m + 12m -30 + -5M + 12m + 2mM = -12m + 12m Combine like terms: -12m + 12m = 0 -30 + -5M + 12m + 2mM = 0 The solution to this equation could not be determined.
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