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Simplifying 5k + -12k + -4(4k + 6) = 0 Reorder the terms: 5k + -12k + -4(6 + 4k) = 0 5k + -12k + (6 * -4 + 4k * -4) = 0 5k + -12k + (-24 + -16k) = 0 Reorder the terms: -24 + 5k + -12k + -16k = 0 Combine like terms: 5k + -12k = -7k -24 + -7k + -16k = 0 Combine like terms: -7k + -16k = -23k -24 + -23k = 0 Solving -24 + -23k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -23k = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -23k = 0 + 24 -23k = 0 + 24 Combine like terms: 0 + 24 = 24 -23k = 24 Divide each side by '-23'. k = -1.043478261 Simplifying k = -1.043478261
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