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Simplifying -9(k + 9) + -3(5 + -11k) = -14k + -10k Reorder the terms: -9(9 + k) + -3(5 + -11k) = -14k + -10k (9 * -9 + k * -9) + -3(5 + -11k) = -14k + -10k (-81 + -9k) + -3(5 + -11k) = -14k + -10k -81 + -9k + (5 * -3 + -11k * -3) = -14k + -10k -81 + -9k + (-15 + 33k) = -14k + -10k Reorder the terms: -81 + -15 + -9k + 33k = -14k + -10k Combine like terms: -81 + -15 = -96 -96 + -9k + 33k = -14k + -10k Combine like terms: -9k + 33k = 24k -96 + 24k = -14k + -10k Combine like terms: -14k + -10k = -24k -96 + 24k = -24k Solving -96 + 24k = -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -96 + 24k + 24k = -24k + 24k Combine like terms: 24k + 24k = 48k -96 + 48k = -24k + 24k Combine like terms: -24k + 24k = 0 -96 + 48k = 0 Add '96' to each side of the equation. -96 + 96 + 48k = 0 + 96 Combine like terms: -96 + 96 = 0 0 + 48k = 0 + 96 48k = 0 + 96 Combine like terms: 0 + 96 = 96 48k = 96 Divide each side by '48'. k = 2 Simplifying k = 2
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