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