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Simplifying -11 + 20 = -19 + 16k + 12 Combine like terms: -11 + 20 = 9 9 = -19 + 16k + 12 Reorder the terms: 9 = -19 + 12 + 16k Combine like terms: -19 + 12 = -7 9 = -7 + 16k Solving 9 = -7 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. 9 + -16k = -7 + 16k + -16k Combine like terms: 16k + -16k = 0 9 + -16k = -7 + 0 9 + -16k = -7 Add '-9' to each side of the equation. 9 + -9 + -16k = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -16k = -7 + -9 -16k = -7 + -9 Combine like terms: -7 + -9 = -16 -16k = -16 Divide each side by '-16'. k = 1 Simplifying k = 1
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