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Simplifying -6 + -4k + 7 + 42k = -2 Reorder the terms: -6 + 7 + -4k + 42k = -2 Combine like terms: -6 + 7 = 1 1 + -4k + 42k = -2 Combine like terms: -4k + 42k = 38k 1 + 38k = -2 Solving 1 + 38k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 38k = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 38k = -2 + -1 38k = -2 + -1 Combine like terms: -2 + -1 = -3 38k = -3 Divide each side by '38'. k = -0.07894736842 Simplifying k = -0.07894736842
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