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Simplifying -6(1 + -5k) + -8k = -116 (1 * -6 + -5k * -6) + -8k = -116 (-6 + 30k) + -8k = -116 Combine like terms: 30k + -8k = 22k -6 + 22k = -116 Solving -6 + 22k = -116 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 22k = -116 + 6 Combine like terms: -6 + 6 = 0 0 + 22k = -116 + 6 22k = -116 + 6 Combine like terms: -116 + 6 = -110 22k = -110 Divide each side by '22'. k = -5 Simplifying k = -5
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