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Simplifying 5k + (-2k) + -1(-1) = 0 Multiply -1 * -1 5k + (-2k) + 1 = 0 Reorder the terms: 1 + 5k + (-2k) = 0 Combine like terms: 5k + (-2k) = 3k 1 + 3k = 0 Solving 1 + 3k = 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 + 3k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3k = 0 + -1 3k = 0 + -1 Combine like terms: 0 + -1 = -1 3k = -1 Divide each side by '3'. k = -0.3333333333 Simplifying k = -0.3333333333
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