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Simplifying (2m + -5)(m + 4) = k + 2m2 Reorder the terms: (-5 + 2m)(m + 4) = k + 2m2 Reorder the terms: (-5 + 2m)(4 + m) = k + 2m2 Multiply (-5 + 2m) * (4 + m) (-5(4 + m) + 2m * (4 + m)) = k + 2m2 ((4 * -5 + m * -5) + 2m * (4 + m)) = k + 2m2 ((-20 + -5m) + 2m * (4 + m)) = k + 2m2 (-20 + -5m + (4 * 2m + m * 2m)) = k + 2m2 (-20 + -5m + (8m + 2m2)) = k + 2m2 Combine like terms: -5m + 8m = 3m (-20 + 3m + 2m2) = k + 2m2 Add '-2m2' to each side of the equation. -20 + 3m + 2m2 + -2m2 = k + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -20 + 3m + 0 = k + 2m2 + -2m2 -20 + 3m = k + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -20 + 3m = k + 0 -20 + 3m = k Solving -20 + 3m = k Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3m = 20 + k Combine like terms: -20 + 20 = 0 0 + 3m = 20 + k 3m = 20 + k Divide each side by '3'. m = 6.666666667 + 0.3333333333k Simplifying m = 6.666666667 + 0.3333333333k
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