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Simplifying 4k + 5 = 7k + -7 + 9k Reorder the terms: 5 + 4k = 7k + -7 + 9k Reorder the terms: 5 + 4k = -7 + 7k + 9k Combine like terms: 7k + 9k = 16k 5 + 4k = -7 + 16k Solving 5 + 4k = -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. 5 + 4k + -16k = -7 + 16k + -16k Combine like terms: 4k + -16k = -12k 5 + -12k = -7 + 16k + -16k Combine like terms: 16k + -16k = 0 5 + -12k = -7 + 0 5 + -12k = -7 Add '-5' to each side of the equation. 5 + -5 + -12k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -12k = -7 + -5 -12k = -7 + -5 Combine like terms: -7 + -5 = -12 -12k = -12 Divide each side by '-12'. k = 1 Simplifying k = 1
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