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Simplifying 8k + -1k + 7 + -1(-5k) + -8 = 0 Remove parenthesis around (-5k) 8k + -1k + 7 + -1 * -5k + -8 = 0 Multiply -1 * -5 8k + -1k + 7 + 5k + -8 = 0 Reorder the terms: 7 + -8 + 8k + -1k + 5k = 0 Combine like terms: 7 + -8 = -1 -1 + 8k + -1k + 5k = 0 Combine like terms: 8k + -1k = 7k -1 + 7k + 5k = 0 Combine like terms: 7k + 5k = 12k -1 + 12k = 0 Solving -1 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12k = 0 + 1 12k = 0 + 1 Combine like terms: 0 + 1 = 1 12k = 1 Divide each side by '12'. k = 0.08333333333 Simplifying k = 0.08333333333
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