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Simplifying -35 = 1 + -4k Solving -35 = 1 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -35 + 4k = 1 + -4k + 4k Combine like terms: -4k + 4k = 0 -35 + 4k = 1 + 0 -35 + 4k = 1 Add '35' to each side of the equation. -35 + 35 + 4k = 1 + 35 Combine like terms: -35 + 35 = 0 0 + 4k = 1 + 35 4k = 1 + 35 Combine like terms: 1 + 35 = 36 4k = 36 Divide each side by '4'. k = 9 Simplifying k = 9
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