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Simplifying 6k + -1(9 + k) = -1(3k + 9) 6k + (9 * -1 + k * -1) = -1(3k + 9) 6k + (-9 + -1k) = -1(3k + 9) Reorder the terms: -9 + 6k + -1k = -1(3k + 9) Combine like terms: 6k + -1k = 5k -9 + 5k = -1(3k + 9) Reorder the terms: -9 + 5k = -1(9 + 3k) -9 + 5k = (9 * -1 + 3k * -1) -9 + 5k = (-9 + -3k) Add '9' to each side of the equation. -9 + 9 + 5k = -9 + 9 + -3k Combine like terms: -9 + 9 = 0 0 + 5k = -9 + 9 + -3k 5k = -9 + 9 + -3k Combine like terms: -9 + 9 = 0 5k = 0 + -3k 5k = -3k Solving 5k = -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. 5k + 3k = -3k + 3k Combine like terms: 5k + 3k = 8k 8k = -3k + 3k Combine like terms: -3k + 3k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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