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Simplifying 7k + -1(7 + k) = -1(2k + 7) 7k + (7 * -1 + k * -1) = -1(2k + 7) 7k + (-7 + -1k) = -1(2k + 7) Reorder the terms: -7 + 7k + -1k = -1(2k + 7) Combine like terms: 7k + -1k = 6k -7 + 6k = -1(2k + 7) Reorder the terms: -7 + 6k = -1(7 + 2k) -7 + 6k = (7 * -1 + 2k * -1) -7 + 6k = (-7 + -2k) Add '7' to each side of the equation. -7 + 7 + 6k = -7 + 7 + -2k Combine like terms: -7 + 7 = 0 0 + 6k = -7 + 7 + -2k 6k = -7 + 7 + -2k Combine like terms: -7 + 7 = 0 6k = 0 + -2k 6k = -2k Solving 6k = -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. 6k + 2k = -2k + 2k Combine like terms: 6k + 2k = 8k 8k = -2k + 2k Combine like terms: -2k + 2k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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