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Simplifying -6(k + -7) = -35 + 5k Reorder the terms: -6(-7 + k) = -35 + 5k (-7 * -6 + k * -6) = -35 + 5k (42 + -6k) = -35 + 5k Solving 42 + -6k = -35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 42 + -6k + -5k = -35 + 5k + -5k Combine like terms: -6k + -5k = -11k 42 + -11k = -35 + 5k + -5k Combine like terms: 5k + -5k = 0 42 + -11k = -35 + 0 42 + -11k = -35 Add '-42' to each side of the equation. 42 + -42 + -11k = -35 + -42 Combine like terms: 42 + -42 = 0 0 + -11k = -35 + -42 -11k = -35 + -42 Combine like terms: -35 + -42 = -77 -11k = -77 Divide each side by '-11'. k = 7 Simplifying k = 7
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