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Simplifying -6(6k + 11) + -12 = -6(7k + -11) Reorder the terms: -6(11 + 6k) + -12 = -6(7k + -11) (11 * -6 + 6k * -6) + -12 = -6(7k + -11) (-66 + -36k) + -12 = -6(7k + -11) Reorder the terms: -66 + -12 + -36k = -6(7k + -11) Combine like terms: -66 + -12 = -78 -78 + -36k = -6(7k + -11) Reorder the terms: -78 + -36k = -6(-11 + 7k) -78 + -36k = (-11 * -6 + 7k * -6) -78 + -36k = (66 + -42k) Solving -78 + -36k = 66 + -42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42k' to each side of the equation. -78 + -36k + 42k = 66 + -42k + 42k Combine like terms: -36k + 42k = 6k -78 + 6k = 66 + -42k + 42k Combine like terms: -42k + 42k = 0 -78 + 6k = 66 + 0 -78 + 6k = 66 Add '78' to each side of the equation. -78 + 78 + 6k = 66 + 78 Combine like terms: -78 + 78 = 0 0 + 6k = 66 + 78 6k = 66 + 78 Combine like terms: 66 + 78 = 144 6k = 144 Divide each side by '6'. k = 24 Simplifying k = 24
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