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Simplifying (6k + 5) + -1(2k + -1) = 0 Reorder the terms: (5 + 6k) + -1(2k + -1) = 0 Remove parenthesis around (5 + 6k) 5 + 6k + -1(2k + -1) = 0 Reorder the terms: 5 + 6k + -1(-1 + 2k) = 0 5 + 6k + (-1 * -1 + 2k * -1) = 0 5 + 6k + (1 + -2k) = 0 Reorder the terms: 5 + 1 + 6k + -2k = 0 Combine like terms: 5 + 1 = 6 6 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 6 + 4k = 0 Solving 6 + 4k = 0 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 + 4k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 4k = 0 + -6 4k = 0 + -6 Combine like terms: 0 + -6 = -6 4k = -6 Divide each side by '4'. k = -1.5 Simplifying k = -1.5
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