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Simplifying -66 = -6(4 + -6k) + 6k -66 = (4 * -6 + -6k * -6) + 6k -66 = (-24 + 36k) + 6k Combine like terms: 36k + 6k = 42k -66 = -24 + 42k Solving -66 = -24 + 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. -66 + -42k = -24 + 42k + -42k Combine like terms: 42k + -42k = 0 -66 + -42k = -24 + 0 -66 + -42k = -24 Add '66' to each side of the equation. -66 + 66 + -42k = -24 + 66 Combine like terms: -66 + 66 = 0 0 + -42k = -24 + 66 -42k = -24 + 66 Combine like terms: -24 + 66 = 42 -42k = 42 Divide each side by '-42'. k = -1 Simplifying k = -1
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