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Simplifying 4 + -6k = 32 + -2k Solving 4 + -6k = 32 + -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. 4 + -6k + 2k = 32 + -2k + 2k Combine like terms: -6k + 2k = -4k 4 + -4k = 32 + -2k + 2k Combine like terms: -2k + 2k = 0 4 + -4k = 32 + 0 4 + -4k = 32 Add '-4' to each side of the equation. 4 + -4 + -4k = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = 32 + -4 -4k = 32 + -4 Combine like terms: 32 + -4 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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