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Simplifying -6k + 10 + -42k = 0 Reorder the terms: 10 + -6k + -42k = 0 Combine like terms: -6k + -42k = -48k 10 + -48k = 0 Solving 10 + -48k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -48k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -48k = 0 + -10 -48k = 0 + -10 Combine like terms: 0 + -10 = -10 -48k = -10 Divide each side by '-48'. k = 0.2083333333 Simplifying k = 0.2083333333
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