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Simplifying 42 = -8k + 10 Reorder the terms: 42 = 10 + -8k Solving 42 = 10 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 42 + 8k = 10 + -8k + 8k Combine like terms: -8k + 8k = 0 42 + 8k = 10 + 0 42 + 8k = 10 Add '-42' to each side of the equation. 42 + -42 + 8k = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 8k = 10 + -42 8k = 10 + -42 Combine like terms: 10 + -42 = -32 8k = -32 Divide each side by '8'. k = -4 Simplifying k = -4
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