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Simplifying 5 + -9k + 1 + k + -2(7 + -1k) = 0 5 + -9k + 1 + k + (7 * -2 + -1k * -2) = 0 5 + -9k + 1 + k + (-14 + 2k) = 0 Reorder the terms: 5 + 1 + -14 + -9k + k + 2k = 0 Combine like terms: 5 + 1 = 6 6 + -14 + -9k + k + 2k = 0 Combine like terms: 6 + -14 = -8 -8 + -9k + k + 2k = 0 Combine like terms: -9k + k = -8k -8 + -8k + 2k = 0 Combine like terms: -8k + 2k = -6k -8 + -6k = 0 Solving -8 + -6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -6k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6k = 0 + 8 -6k = 0 + 8 Combine like terms: 0 + 8 = 8 -6k = 8 Divide each side by '-6'. k = -1.333333333 Simplifying k = -1.333333333
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