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Simplifying 5k + -35 + -7 + k = 0 Reorder the terms: -35 + -7 + 5k + k = 0 Combine like terms: -35 + -7 = -42 -42 + 5k + k = 0 Combine like terms: 5k + k = 6k -42 + 6k = 0 Solving -42 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 6k = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 6k = 0 + 42 6k = 0 + 42 Combine like terms: 0 + 42 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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