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Simplifying -7(k + -6) = -1(-3k + 8) Reorder the terms: -7(-6 + k) = -1(-3k + 8) (-6 * -7 + k * -7) = -1(-3k + 8) (42 + -7k) = -1(-3k + 8) Reorder the terms: 42 + -7k = -1(8 + -3k) 42 + -7k = (8 * -1 + -3k * -1) 42 + -7k = (-8 + 3k) Solving 42 + -7k = -8 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 42 + -7k + -3k = -8 + 3k + -3k Combine like terms: -7k + -3k = -10k 42 + -10k = -8 + 3k + -3k Combine like terms: 3k + -3k = 0 42 + -10k = -8 + 0 42 + -10k = -8 Add '-42' to each side of the equation. 42 + -42 + -10k = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -10k = -8 + -42 -10k = -8 + -42 Combine like terms: -8 + -42 = -50 -10k = -50 Divide each side by '-10'. k = 5 Simplifying k = 5
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