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Simplifying (m + 16)(m + -4) = (m + 12)(m + -2) Reorder the terms: (16 + m)(m + -4) = (m + 12)(m + -2) Reorder the terms: (16 + m)(-4 + m) = (m + 12)(m + -2) Multiply (16 + m) * (-4 + m) (16(-4 + m) + m(-4 + m)) = (m + 12)(m + -2) ((-4 * 16 + m * 16) + m(-4 + m)) = (m + 12)(m + -2) ((-64 + 16m) + m(-4 + m)) = (m + 12)(m + -2) (-64 + 16m + (-4 * m + m * m)) = (m + 12)(m + -2) (-64 + 16m + (-4m + m2)) = (m + 12)(m + -2) Combine like terms: 16m + -4m = 12m (-64 + 12m + m2) = (m + 12)(m + -2) Reorder the terms: -64 + 12m + m2 = (12 + m)(m + -2) Reorder the terms: -64 + 12m + m2 = (12 + m)(-2 + m) Multiply (12 + m) * (-2 + m) -64 + 12m + m2 = (12(-2 + m) + m(-2 + m)) -64 + 12m + m2 = ((-2 * 12 + m * 12) + m(-2 + m)) -64 + 12m + m2 = ((-24 + 12m) + m(-2 + m)) -64 + 12m + m2 = (-24 + 12m + (-2 * m + m * m)) -64 + 12m + m2 = (-24 + 12m + (-2m + m2)) Combine like terms: 12m + -2m = 10m -64 + 12m + m2 = (-24 + 10m + m2) Add '-1m2' to each side of the equation. -64 + 12m + m2 + -1m2 = -24 + 10m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -64 + 12m + 0 = -24 + 10m + m2 + -1m2 -64 + 12m = -24 + 10m + m2 + -1m2 Combine like terms: m2 + -1m2 = 0 -64 + 12m = -24 + 10m + 0 -64 + 12m = -24 + 10m Solving -64 + 12m = -24 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -64 + 12m + -10m = -24 + 10m + -10m Combine like terms: 12m + -10m = 2m -64 + 2m = -24 + 10m + -10m Combine like terms: 10m + -10m = 0 -64 + 2m = -24 + 0 -64 + 2m = -24 Add '64' to each side of the equation. -64 + 64 + 2m = -24 + 64 Combine like terms: -64 + 64 = 0 0 + 2m = -24 + 64 2m = -24 + 64 Combine like terms: -24 + 64 = 40 2m = 40 Divide each side by '2'. m = 20 Simplifying m = 20
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