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Simplifying 3k + -6(3 + -1k) = -90 3k + (3 * -6 + -1k * -6) = -90 3k + (-18 + 6k) = -90 Reorder the terms: -18 + 3k + 6k = -90 Combine like terms: 3k + 6k = 9k -18 + 9k = -90 Solving -18 + 9k = -90 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9k = -90 + 18 Combine like terms: -18 + 18 = 0 0 + 9k = -90 + 18 9k = -90 + 18 Combine like terms: -90 + 18 = -72 9k = -72 Divide each side by '9'. k = -8 Simplifying k = -8
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