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Simplifying -1(8k + 1) = 35 + 4k Reorder the terms: -1(1 + 8k) = 35 + 4k (1 * -1 + 8k * -1) = 35 + 4k (-1 + -8k) = 35 + 4k Solving -1 + -8k = 35 + 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. -1 + -8k + -4k = 35 + 4k + -4k Combine like terms: -8k + -4k = -12k -1 + -12k = 35 + 4k + -4k Combine like terms: 4k + -4k = 0 -1 + -12k = 35 + 0 -1 + -12k = 35 Add '1' to each side of the equation. -1 + 1 + -12k = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12k = 35 + 1 -12k = 35 + 1 Combine like terms: 35 + 1 = 36 -12k = 36 Divide each side by '-12'. k = -3 Simplifying k = -3
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