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Simplifying -6k + 7 = -2k + -9 Reorder the terms: 7 + -6k = -2k + -9 Reorder the terms: 7 + -6k = -9 + -2k Solving 7 + -6k = -9 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 7 + -6k + 2k = -9 + -2k + 2k Combine like terms: -6k + 2k = -4k 7 + -4k = -9 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + -4k = -9 + 0 7 + -4k = -9 Add '-7' to each side of the equation. 7 + -7 + -4k = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4k = -9 + -7 -4k = -9 + -7 Combine like terms: -9 + -7 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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