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Simplifying -12(k + -12) = -9(1 + 7k) Reorder the terms: -12(-12 + k) = -9(1 + 7k) (-12 * -12 + k * -12) = -9(1 + 7k) (144 + -12k) = -9(1 + 7k) 144 + -12k = (1 * -9 + 7k * -9) 144 + -12k = (-9 + -63k) Solving 144 + -12k = -9 + -63k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '63k' to each side of the equation. 144 + -12k + 63k = -9 + -63k + 63k Combine like terms: -12k + 63k = 51k 144 + 51k = -9 + -63k + 63k Combine like terms: -63k + 63k = 0 144 + 51k = -9 + 0 144 + 51k = -9 Add '-144' to each side of the equation. 144 + -144 + 51k = -9 + -144 Combine like terms: 144 + -144 = 0 0 + 51k = -9 + -144 51k = -9 + -144 Combine like terms: -9 + -144 = -153 51k = -153 Divide each side by '51'. k = -3 Simplifying k = -3
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