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Simplifying 4k + 22 = -32 + 14k Reorder the terms: 22 + 4k = -32 + 14k Solving 22 + 4k = -32 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 22 + 4k + -14k = -32 + 14k + -14k Combine like terms: 4k + -14k = -10k 22 + -10k = -32 + 14k + -14k Combine like terms: 14k + -14k = 0 22 + -10k = -32 + 0 22 + -10k = -32 Add '-22' to each side of the equation. 22 + -22 + -10k = -32 + -22 Combine like terms: 22 + -22 = 0 0 + -10k = -32 + -22 -10k = -32 + -22 Combine like terms: -32 + -22 = -54 -10k = -54 Divide each side by '-10'. k = 5.4 Simplifying k = 5.4
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