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Simplifying 6k + -1(2k + -7) = 0 Reorder the terms: 6k + -1(-7 + 2k) = 0 6k + (-7 * -1 + 2k * -1) = 0 6k + (7 + -2k) = 0 Reorder the terms: 7 + 6k + -2k = 0 Combine like terms: 6k + -2k = 4k 7 + 4k = 0 Solving 7 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4k = 0 + -7 4k = 0 + -7 Combine like terms: 0 + -7 = -7 4k = -7 Divide each side by '4'. k = -1.75 Simplifying k = -1.75
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