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Simplifying 3(2k + -1s) + -1k = 4 + -1(3k + 7) (2k * 3 + -1s * 3) + -1k = 4 + -1(3k + 7) (6k + -3s) + -1k = 4 + -1(3k + 7) Reorder the terms: 6k + -1k + -3s = 4 + -1(3k + 7) Combine like terms: 6k + -1k = 5k 5k + -3s = 4 + -1(3k + 7) Reorder the terms: 5k + -3s = 4 + -1(7 + 3k) 5k + -3s = 4 + (7 * -1 + 3k * -1) 5k + -3s = 4 + (-7 + -3k) Combine like terms: 4 + -7 = -3 5k + -3s = -3 + -3k Solving 5k + -3s = -3 + -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 + -3s = -3 + -3k + 3k Combine like terms: 5k + 3k = 8k 8k + -3s = -3 + -3k + 3k Combine like terms: -3k + 3k = 0 8k + -3s = -3 + 0 8k + -3s = -3 Add '3s' to each side of the equation. 8k + -3s + 3s = -3 + 3s Combine like terms: -3s + 3s = 0 8k + 0 = -3 + 3s 8k = -3 + 3s Divide each side by '8'. k = -0.375 + 0.375s Simplifying k = -0.375 + 0.375s
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