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Simplifying 4k + -6 = -2k + -16 + -12 Reorder the terms: -6 + 4k = -2k + -16 + -12 Reorder the terms: -6 + 4k = -16 + -12 + -2k Combine like terms: -16 + -12 = -28 -6 + 4k = -28 + -2k Solving -6 + 4k = -28 + -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. -6 + 4k + 2k = -28 + -2k + 2k Combine like terms: 4k + 2k = 6k -6 + 6k = -28 + -2k + 2k Combine like terms: -2k + 2k = 0 -6 + 6k = -28 + 0 -6 + 6k = -28 Add '6' to each side of the equation. -6 + 6 + 6k = -28 + 6 Combine like terms: -6 + 6 = 0 0 + 6k = -28 + 6 6k = -28 + 6 Combine like terms: -28 + 6 = -22 6k = -22 Divide each side by '6'. k = -3.666666667 Simplifying k = -3.666666667
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