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Simplifying -1(-7 + 6k) = -35 + 8k (-7 * -1 + 6k * -1) = -35 + 8k (7 + -6k) = -35 + 8k Solving 7 + -6k = -35 + 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. 7 + -6k + -8k = -35 + 8k + -8k Combine like terms: -6k + -8k = -14k 7 + -14k = -35 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -14k = -35 + 0 7 + -14k = -35 Add '-7' to each side of the equation. 7 + -7 + -14k = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -14k = -35 + -7 -14k = -35 + -7 Combine like terms: -35 + -7 = -42 -14k = -42 Divide each side by '-14'. k = 3 Simplifying k = 3
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