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Simplifying (5m + -3)(m + 9) + -1(5m + -3)(m + -8) = 0 Reorder the terms: (-3 + 5m)(m + 9) + -1(5m + -3)(m + -8) = 0 Reorder the terms: (-3 + 5m)(9 + m) + -1(5m + -3)(m + -8) = 0 Multiply (-3 + 5m) * (9 + m) (-3(9 + m) + 5m * (9 + m)) + -1(5m + -3)(m + -8) = 0 ((9 * -3 + m * -3) + 5m * (9 + m)) + -1(5m + -3)(m + -8) = 0 ((-27 + -3m) + 5m * (9 + m)) + -1(5m + -3)(m + -8) = 0 (-27 + -3m + (9 * 5m + m * 5m)) + -1(5m + -3)(m + -8) = 0 (-27 + -3m + (45m + 5m2)) + -1(5m + -3)(m + -8) = 0 Combine like terms: -3m + 45m = 42m (-27 + 42m + 5m2) + -1(5m + -3)(m + -8) = 0 Reorder the terms: -27 + 42m + 5m2 + -1(-3 + 5m)(m + -8) = 0 Reorder the terms: -27 + 42m + 5m2 + -1(-3 + 5m)(-8 + m) = 0 Multiply (-3 + 5m) * (-8 + m) -27 + 42m + 5m2 + -1(-3(-8 + m) + 5m * (-8 + m)) = 0 -27 + 42m + 5m2 + -1((-8 * -3 + m * -3) + 5m * (-8 + m)) = 0 -27 + 42m + 5m2 + -1((24 + -3m) + 5m * (-8 + m)) = 0 -27 + 42m + 5m2 + -1(24 + -3m + (-8 * 5m + m * 5m)) = 0 -27 + 42m + 5m2 + -1(24 + -3m + (-40m + 5m2)) = 0 Combine like terms: -3m + -40m = -43m -27 + 42m + 5m2 + -1(24 + -43m + 5m2) = 0 -27 + 42m + 5m2 + (24 * -1 + -43m * -1 + 5m2 * -1) = 0 -27 + 42m + 5m2 + (-24 + 43m + -5m2) = 0 Reorder the terms: -27 + -24 + 42m + 43m + 5m2 + -5m2 = 0 Combine like terms: -27 + -24 = -51 -51 + 42m + 43m + 5m2 + -5m2 = 0 Combine like terms: 42m + 43m = 85m -51 + 85m + 5m2 + -5m2 = 0 Combine like terms: 5m2 + -5m2 = 0 -51 + 85m + 0 = 0 -51 + 85m = 0 Solving -51 + 85m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 85m = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 85m = 0 + 51 85m = 0 + 51 Combine like terms: 0 + 51 = 51 85m = 51 Divide each side by '85'. m = 0.6 Simplifying m = 0.6
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