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Simplifying (2m + 1)(m + -2) = m(2m + -4) Reorder the terms: (1 + 2m)(m + -2) = m(2m + -4) Reorder the terms: (1 + 2m)(-2 + m) = m(2m + -4) Multiply (1 + 2m) * (-2 + m) (1(-2 + m) + 2m * (-2 + m)) = m(2m + -4) ((-2 * 1 + m * 1) + 2m * (-2 + m)) = m(2m + -4) ((-2 + 1m) + 2m * (-2 + m)) = m(2m + -4) (-2 + 1m + (-2 * 2m + m * 2m)) = m(2m + -4) (-2 + 1m + (-4m + 2m2)) = m(2m + -4) Combine like terms: 1m + -4m = -3m (-2 + -3m + 2m2) = m(2m + -4) Reorder the terms: -2 + -3m + 2m2 = m(-4 + 2m) -2 + -3m + 2m2 = (-4 * m + 2m * m) -2 + -3m + 2m2 = (-4m + 2m2) Add '-2m2' to each side of the equation. -2 + -3m + 2m2 + -2m2 = -4m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -2 + -3m + 0 = -4m + 2m2 + -2m2 -2 + -3m = -4m + 2m2 + -2m2 Combine like terms: 2m2 + -2m2 = 0 -2 + -3m = -4m + 0 -2 + -3m = -4m Solving -2 + -3m = -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. -2 + -3m + 4m = -4m + 4m Combine like terms: -3m + 4m = 1m -2 + 1m = -4m + 4m Combine like terms: -4m + 4m = 0 -2 + 1m = 0 Add '2' to each side of the equation. -2 + 2 + 1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1m = 0 + 2 1m = 0 + 2 Combine like terms: 0 + 2 = 2 1m = 2 Divide each side by '1'. m = 2 Simplifying m = 2
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