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Simplifying 8k + -6(1 + k) = 5 8k + (1 * -6 + k * -6) = 5 8k + (-6 + -6k) = 5 Reorder the terms: -6 + 8k + -6k = 5 Combine like terms: 8k + -6k = 2k -6 + 2k = 5 Solving -6 + 2k = 5 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 + 2k = 5 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = 5 + 6 2k = 5 + 6 Combine like terms: 5 + 6 = 11 2k = 11 Divide each side by '2'. k = 5.5 Simplifying k = 5.5
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