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Simplifying 8k + -22 = 14k + 20 Reorder the terms: -22 + 8k = 14k + 20 Reorder the terms: -22 + 8k = 20 + 14k Solving -22 + 8k = 20 + 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 + 8k + -14k = 20 + 14k + -14k Combine like terms: 8k + -14k = -6k -22 + -6k = 20 + 14k + -14k Combine like terms: 14k + -14k = 0 -22 + -6k = 20 + 0 -22 + -6k = 20 Add '22' to each side of the equation. -22 + 22 + -6k = 20 + 22 Combine like terms: -22 + 22 = 0 0 + -6k = 20 + 22 -6k = 20 + 22 Combine like terms: 20 + 22 = 42 -6k = 42 Divide each side by '-6'. k = -7 Simplifying k = -7
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