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Simplifying (m + -1)(m + 5) + -3m = m(m + -2) Reorder the terms: (-1 + m)(m + 5) + -3m = m(m + -2) Reorder the terms: (-1 + m)(5 + m) + -3m = m(m + -2) Multiply (-1 + m) * (5 + m) (-1(5 + m) + m(5 + m)) + -3m = m(m + -2) ((5 * -1 + m * -1) + m(5 + m)) + -3m = m(m + -2) ((-5 + -1m) + m(5 + m)) + -3m = m(m + -2) (-5 + -1m + (5 * m + m * m)) + -3m = m(m + -2) (-5 + -1m + (5m + m2)) + -3m = m(m + -2) Combine like terms: -1m + 5m = 4m (-5 + 4m + m2) + -3m = m(m + -2) Reorder the terms: -5 + 4m + -3m + m2 = m(m + -2) Combine like terms: 4m + -3m = 1m -5 + 1m + m2 = m(m + -2) Reorder the terms: -5 + 1m + m2 = m(-2 + m) -5 + 1m + m2 = (-2 * m + m * m) -5 + 1m + m2 = (-2m + m2) Add '-1m2' to each side of the equation. -5 + 1m + m2 + -1m2 = -2m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -5 + 1m + 0 = -2m + m2 + -1m2 -5 + 1m = -2m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -5 + 1m = -2m + 0 -5 + 1m = -2m Solving -5 + 1m = -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -5 + 1m + 2m = -2m + 2m Combine like terms: 1m + 2m = 3m -5 + 3m = -2m + 2m Combine like terms: -2m + 2m = 0 -5 + 3m = 0 Add '5' to each side of the equation. -5 + 5 + 3m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3m = 0 + 5 3m = 0 + 5 Combine like terms: 0 + 5 = 5 3m = 5 Divide each side by '3'. m = 1.666666667 Simplifying m = 1.666666667
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