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Simplifying 4k + 9 + -16k + 4 + 4 = 0 Reorder the terms: 9 + 4 + 4 + 4k + -16k = 0 Combine like terms: 9 + 4 = 13 13 + 4 + 4k + -16k = 0 Combine like terms: 13 + 4 = 17 17 + 4k + -16k = 0 Combine like terms: 4k + -16k = -12k 17 + -12k = 0 Solving 17 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -12k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -12k = 0 + -17 -12k = 0 + -17 Combine like terms: 0 + -17 = -17 -12k = -17 Divide each side by '-12'. k = 1.416666667 Simplifying k = 1.416666667
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