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Simplifying 8k + -1(3 + k) = -1(2k + 3) 8k + (3 * -1 + k * -1) = -1(2k + 3) 8k + (-3 + -1k) = -1(2k + 3) Reorder the terms: -3 + 8k + -1k = -1(2k + 3) Combine like terms: 8k + -1k = 7k -3 + 7k = -1(2k + 3) Reorder the terms: -3 + 7k = -1(3 + 2k) -3 + 7k = (3 * -1 + 2k * -1) -3 + 7k = (-3 + -2k) Add '3' to each side of the equation. -3 + 3 + 7k = -3 + 3 + -2k Combine like terms: -3 + 3 = 0 0 + 7k = -3 + 3 + -2k 7k = -3 + 3 + -2k Combine like terms: -3 + 3 = 0 7k = 0 + -2k 7k = -2k Solving 7k = -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. 7k + 2k = -2k + 2k Combine like terms: 7k + 2k = 9k 9k = -2k + 2k Combine like terms: -2k + 2k = 0 9k = 0 Divide each side by '9'. k = 0 Simplifying k = 0
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