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Simplifying 8(7k + -11) = 12k + -12(6k + -12) Reorder the terms: 8(-11 + 7k) = 12k + -12(6k + -12) (-11 * 8 + 7k * 8) = 12k + -12(6k + -12) (-88 + 56k) = 12k + -12(6k + -12) Reorder the terms: -88 + 56k = 12k + -12(-12 + 6k) -88 + 56k = 12k + (-12 * -12 + 6k * -12) -88 + 56k = 12k + (144 + -72k) Reorder the terms: -88 + 56k = 144 + 12k + -72k Combine like terms: 12k + -72k = -60k -88 + 56k = 144 + -60k Solving -88 + 56k = 144 + -60k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '60k' to each side of the equation. -88 + 56k + 60k = 144 + -60k + 60k Combine like terms: 56k + 60k = 116k -88 + 116k = 144 + -60k + 60k Combine like terms: -60k + 60k = 0 -88 + 116k = 144 + 0 -88 + 116k = 144 Add '88' to each side of the equation. -88 + 88 + 116k = 144 + 88 Combine like terms: -88 + 88 = 0 0 + 116k = 144 + 88 116k = 144 + 88 Combine like terms: 144 + 88 = 232 116k = 232 Divide each side by '116'. k = 2 Simplifying k = 2
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