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Simplifying 3k + -1(5 + k) = -1(9k + 5) 3k + (5 * -1 + k * -1) = -1(9k + 5) 3k + (-5 + -1k) = -1(9k + 5) Reorder the terms: -5 + 3k + -1k = -1(9k + 5) Combine like terms: 3k + -1k = 2k -5 + 2k = -1(9k + 5) Reorder the terms: -5 + 2k = -1(5 + 9k) -5 + 2k = (5 * -1 + 9k * -1) -5 + 2k = (-5 + -9k) Add '5' to each side of the equation. -5 + 5 + 2k = -5 + 5 + -9k Combine like terms: -5 + 5 = 0 0 + 2k = -5 + 5 + -9k 2k = -5 + 5 + -9k Combine like terms: -5 + 5 = 0 2k = 0 + -9k 2k = -9k Solving 2k = -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 2k + 9k = -9k + 9k Combine like terms: 2k + 9k = 11k 11k = -9k + 9k Combine like terms: -9k + 9k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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