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Simplifying -6 + 42k + 7 + 42k = -2 Reorder the terms: -6 + 7 + 42k + 42k = -2 Combine like terms: -6 + 7 = 1 1 + 42k + 42k = -2 Combine like terms: 42k + 42k = 84k 1 + 84k = -2 Solving 1 + 84k = -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 + 84k = -2 + -1 Combine like terms: 1 + -1 = 0 0 + 84k = -2 + -1 84k = -2 + -1 Combine like terms: -2 + -1 = -3 84k = -3 Divide each side by '84'. k = -0.03571428571 Simplifying k = -0.03571428571
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