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Simplifying -81 = 3(-6 + -5k) + 6k -81 = (-6 * 3 + -5k * 3) + 6k -81 = (-18 + -15k) + 6k Combine like terms: -15k + 6k = -9k -81 = -18 + -9k Solving -81 = -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. -81 + 9k = -18 + -9k + 9k Combine like terms: -9k + 9k = 0 -81 + 9k = -18 + 0 -81 + 9k = -18 Add '81' to each side of the equation. -81 + 81 + 9k = -18 + 81 Combine like terms: -81 + 81 = 0 0 + 9k = -18 + 81 9k = -18 + 81 Combine like terms: -18 + 81 = 63 9k = 63 Divide each side by '9'. k = 7 Simplifying k = 7
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