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Simplifying 9k + -1(4 + k) = -1(3k + 4) 9k + (4 * -1 + k * -1) = -1(3k + 4) 9k + (-4 + -1k) = -1(3k + 4) Reorder the terms: -4 + 9k + -1k = -1(3k + 4) Combine like terms: 9k + -1k = 8k -4 + 8k = -1(3k + 4) Reorder the terms: -4 + 8k = -1(4 + 3k) -4 + 8k = (4 * -1 + 3k * -1) -4 + 8k = (-4 + -3k) Add '4' to each side of the equation. -4 + 4 + 8k = -4 + 4 + -3k Combine like terms: -4 + 4 = 0 0 + 8k = -4 + 4 + -3k 8k = -4 + 4 + -3k Combine like terms: -4 + 4 = 0 8k = 0 + -3k 8k = -3k Solving 8k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 8k + 3k = -3k + 3k Combine like terms: 8k + 3k = 11k 11k = -3k + 3k Combine like terms: -3k + 3k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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