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Simplifying -7(5k + -6) = 7 Reorder the terms: -7(-6 + 5k) = 7 (-6 * -7 + 5k * -7) = 7 (42 + -35k) = 7 Solving 42 + -35k = 7 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 + -35k = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -35k = 7 + -42 -35k = 7 + -42 Combine like terms: 7 + -42 = -35 -35k = -35 Divide each side by '-35'. k = 1 Simplifying k = 1
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