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Simplifying -6 + -6k = -6(-6 + -6k) -6 + -6k = (-6 * -6 + -6k * -6) -6 + -6k = (36 + 36k) Solving -6 + -6k = 36 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. -6 + -6k + -36k = 36 + 36k + -36k Combine like terms: -6k + -36k = -42k -6 + -42k = 36 + 36k + -36k Combine like terms: 36k + -36k = 0 -6 + -42k = 36 + 0 -6 + -42k = 36 Add '6' to each side of the equation. -6 + 6 + -42k = 36 + 6 Combine like terms: -6 + 6 = 0 0 + -42k = 36 + 6 -42k = 36 + 6 Combine like terms: 36 + 6 = 42 -42k = 42 Divide each side by '-42'. k = -1 Simplifying k = -1
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