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Simplifying -1k + -1(-5k) + 9 + 2k + -14 = 0 Remove parenthesis around (-5k) -1k + -1 * -5k + 9 + 2k + -14 = 0 Multiply -1 * -5 -1k + 5k + 9 + 2k + -14 = 0 Reorder the terms: 9 + -14 + -1k + 5k + 2k = 0 Combine like terms: 9 + -14 = -5 -5 + -1k + 5k + 2k = 0 Combine like terms: -1k + 5k = 4k -5 + 4k + 2k = 0 Combine like terms: 4k + 2k = 6k -5 + 6k = 0 Solving -5 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 0 + 5 6k = 0 + 5 Combine like terms: 0 + 5 = 5 6k = 5 Divide each side by '6'. k = 0.8333333333 Simplifying k = 0.8333333333
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