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Simplifying -1(6 + -6k) = -6(-3k + -7) (6 * -1 + -6k * -1) = -6(-3k + -7) (-6 + 6k) = -6(-3k + -7) Reorder the terms: -6 + 6k = -6(-7 + -3k) -6 + 6k = (-7 * -6 + -3k * -6) -6 + 6k = (42 + 18k) Solving -6 + 6k = 42 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -6 + 6k + -18k = 42 + 18k + -18k Combine like terms: 6k + -18k = -12k -6 + -12k = 42 + 18k + -18k Combine like terms: 18k + -18k = 0 -6 + -12k = 42 + 0 -6 + -12k = 42 Add '6' to each side of the equation. -6 + 6 + -12k = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -12k = 42 + 6 -12k = 42 + 6 Combine like terms: 42 + 6 = 48 -12k = 48 Divide each side by '-12'. k = -4 Simplifying k = -4
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