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Simplifying (2m + 3)(m + 4) + -2m(m + 4) = 0 Reorder the terms: (3 + 2m)(m + 4) + -2m(m + 4) = 0 Reorder the terms: (3 + 2m)(4 + m) + -2m(m + 4) = 0 Multiply (3 + 2m) * (4 + m) (3(4 + m) + 2m * (4 + m)) + -2m(m + 4) = 0 ((4 * 3 + m * 3) + 2m * (4 + m)) + -2m(m + 4) = 0 ((12 + 3m) + 2m * (4 + m)) + -2m(m + 4) = 0 (12 + 3m + (4 * 2m + m * 2m)) + -2m(m + 4) = 0 (12 + 3m + (8m + 2m2)) + -2m(m + 4) = 0 Combine like terms: 3m + 8m = 11m (12 + 11m + 2m2) + -2m(m + 4) = 0 Reorder the terms: 12 + 11m + 2m2 + -2m(4 + m) = 0 12 + 11m + 2m2 + (4 * -2m + m * -2m) = 0 12 + 11m + 2m2 + (-8m + -2m2) = 0 Reorder the terms: 12 + 11m + -8m + 2m2 + -2m2 = 0 Combine like terms: 11m + -8m = 3m 12 + 3m + 2m2 + -2m2 = 0 Combine like terms: 2m2 + -2m2 = 0 12 + 3m + 0 = 0 12 + 3m = 0 Solving 12 + 3m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3m = 0 + -12 3m = 0 + -12 Combine like terms: 0 + -12 = -12 3m = -12 Divide each side by '3'. m = -4 Simplifying m = -4
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