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Simplifying 9k + -1(2 + k) = -1(2k + 2) 9k + (2 * -1 + k * -1) = -1(2k + 2) 9k + (-2 + -1k) = -1(2k + 2) Reorder the terms: -2 + 9k + -1k = -1(2k + 2) Combine like terms: 9k + -1k = 8k -2 + 8k = -1(2k + 2) Reorder the terms: -2 + 8k = -1(2 + 2k) -2 + 8k = (2 * -1 + 2k * -1) -2 + 8k = (-2 + -2k) Add '2' to each side of the equation. -2 + 2 + 8k = -2 + 2 + -2k Combine like terms: -2 + 2 = 0 0 + 8k = -2 + 2 + -2k 8k = -2 + 2 + -2k Combine like terms: -2 + 2 = 0 8k = 0 + -2k 8k = -2k Solving 8k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8k + 2k = -2k + 2k Combine like terms: 8k + 2k = 10k 10k = -2k + 2k Combine like terms: -2k + 2k = 0 10k = 0 Divide each side by '10'. k = 0.0 Simplifying k = 0.0
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