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Simplifying 16k + -19k + -4 = -2k + -16 Reorder the terms: -4 + 16k + -19k = -2k + -16 Combine like terms: 16k + -19k = -3k -4 + -3k = -2k + -16 Reorder the terms: -4 + -3k = -16 + -2k Solving -4 + -3k = -16 + -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 + -3k + 2k = -16 + -2k + 2k Combine like terms: -3k + 2k = -1k -4 + -1k = -16 + -2k + 2k Combine like terms: -2k + 2k = 0 -4 + -1k = -16 + 0 -4 + -1k = -16 Add '4' to each side of the equation. -4 + 4 + -1k = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -1k = -16 + 4 -1k = -16 + 4 Combine like terms: -16 + 4 = -12 -1k = -12 Divide each side by '-1'. k = 12 Simplifying k = 12
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