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Simplifying (m + 8)(m + -8) + -1(m + -9)(m + -9) = 0 Reorder the terms: (8 + m)(m + -8) + -1(m + -9)(m + -9) = 0 Reorder the terms: (8 + m)(-8 + m) + -1(m + -9)(m + -9) = 0 Multiply (8 + m) * (-8 + m) (8(-8 + m) + m(-8 + m)) + -1(m + -9)(m + -9) = 0 ((-8 * 8 + m * 8) + m(-8 + m)) + -1(m + -9)(m + -9) = 0 ((-64 + 8m) + m(-8 + m)) + -1(m + -9)(m + -9) = 0 (-64 + 8m + (-8 * m + m * m)) + -1(m + -9)(m + -9) = 0 (-64 + 8m + (-8m + m2)) + -1(m + -9)(m + -9) = 0 Combine like terms: 8m + -8m = 0 (-64 + 0 + m2) + -1(m + -9)(m + -9) = 0 (-64 + m2) + -1(m + -9)(m + -9) = 0 Reorder the terms: -64 + m2 + -1(-9 + m)(m + -9) = 0 Reorder the terms: -64 + m2 + -1(-9 + m)(-9 + m) = 0 Multiply (-9 + m) * (-9 + m) -64 + m2 + -1(-9(-9 + m) + m(-9 + m)) = 0 -64 + m2 + -1((-9 * -9 + m * -9) + m(-9 + m)) = 0 -64 + m2 + -1((81 + -9m) + m(-9 + m)) = 0 -64 + m2 + -1(81 + -9m + (-9 * m + m * m)) = 0 -64 + m2 + -1(81 + -9m + (-9m + m2)) = 0 Combine like terms: -9m + -9m = -18m -64 + m2 + -1(81 + -18m + m2) = 0 -64 + m2 + (81 * -1 + -18m * -1 + m2 * -1) = 0 -64 + m2 + (-81 + 18m + -1m2) = 0 Reorder the terms: -64 + -81 + 18m + m2 + -1m2 = 0 Combine like terms: -64 + -81 = -145 -145 + 18m + m2 + -1m2 = 0 Combine like terms: m2 + -1m2 = 0 -145 + 18m + 0 = 0 -145 + 18m = 0 Solving -145 + 18m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '145' to each side of the equation. -145 + 145 + 18m = 0 + 145 Combine like terms: -145 + 145 = 0 0 + 18m = 0 + 145 18m = 0 + 145 Combine like terms: 0 + 145 = 145 18m = 145 Divide each side by '18'. m = 8.055555556 Simplifying m = 8.055555556
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