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Simplifying 10(6 + -9k) + 9k = 60 + 90k (6 * 10 + -9k * 10) + 9k = 60 + 90k (60 + -90k) + 9k = 60 + 90k Combine like terms: -90k + 9k = -81k 60 + -81k = 60 + 90k Add '-60' to each side of the equation. 60 + -60 + -81k = 60 + -60 + 90k Combine like terms: 60 + -60 = 0 0 + -81k = 60 + -60 + 90k -81k = 60 + -60 + 90k Combine like terms: 60 + -60 = 0 -81k = 0 + 90k -81k = 90k Solving -81k = 90k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-90k' to each side of the equation. -81k + -90k = 90k + -90k Combine like terms: -81k + -90k = -171k -171k = 90k + -90k Combine like terms: 90k + -90k = 0 -171k = 0 Divide each side by '-171'. k = 0 Simplifying k = 0
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