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Simplifying 7(s + 3) + -1(4s + -1k) + 8k = 0 Reorder the terms: 7(3 + s) + -1(4s + -1k) + 8k = 0 (3 * 7 + s * 7) + -1(4s + -1k) + 8k = 0 (21 + 7s) + -1(4s + -1k) + 8k = 0 Reorder the terms: 21 + 7s + -1(-1k + 4s) + 8k = 0 21 + 7s + (-1k * -1 + 4s * -1) + 8k = 0 21 + 7s + (1k + -4s) + 8k = 0 Reorder the terms: 21 + 1k + 8k + 7s + -4s = 0 Combine like terms: 1k + 8k = 9k 21 + 9k + 7s + -4s = 0 Combine like terms: 7s + -4s = 3s 21 + 9k + 3s = 0 Solving 21 + 9k + 3s = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 9k + -21 + 3s = 0 + -21 Reorder the terms: 21 + -21 + 9k + 3s = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 9k + 3s = 0 + -21 9k + 3s = 0 + -21 Combine like terms: 0 + -21 = -21 9k + 3s = -21 Add '-3s' to each side of the equation. 9k + 3s + -3s = -21 + -3s Combine like terms: 3s + -3s = 0 9k + 0 = -21 + -3s 9k = -21 + -3s Divide each side by '9'. k = -2.333333333 + -0.3333333333s Simplifying k = -2.333333333 + -0.3333333333s
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