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Simplifying 9k + -12 = 14k + 10 Reorder the terms: -12 + 9k = 14k + 10 Reorder the terms: -12 + 9k = 10 + 14k Solving -12 + 9k = 10 + 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. -12 + 9k + -14k = 10 + 14k + -14k Combine like terms: 9k + -14k = -5k -12 + -5k = 10 + 14k + -14k Combine like terms: 14k + -14k = 0 -12 + -5k = 10 + 0 -12 + -5k = 10 Add '12' to each side of the equation. -12 + 12 + -5k = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -5k = 10 + 12 -5k = 10 + 12 Combine like terms: 10 + 12 = 22 -5k = 22 Divide each side by '-5'. k = -4.4 Simplifying k = -4.4
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