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Simplifying 10 + -3k = 3k + 42 Reorder the terms: 10 + -3k = 42 + 3k Solving 10 + -3k = 42 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 10 + -3k + -3k = 42 + 3k + -3k Combine like terms: -3k + -3k = -6k 10 + -6k = 42 + 3k + -3k Combine like terms: 3k + -3k = 0 10 + -6k = 42 + 0 10 + -6k = 42 Add '-10' to each side of the equation. 10 + -10 + -6k = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -6k = 42 + -10 -6k = 42 + -10 Combine like terms: 42 + -10 = 32 -6k = 32 Divide each side by '-6'. k = -5.333333333 Simplifying k = -5.333333333
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