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Simplifying 8k + 7 + -3k = 14k + 10 Reorder the terms: 7 + 8k + -3k = 14k + 10 Combine like terms: 8k + -3k = 5k 7 + 5k = 14k + 10 Reorder the terms: 7 + 5k = 10 + 14k Solving 7 + 5k = 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. 7 + 5k + -14k = 10 + 14k + -14k Combine like terms: 5k + -14k = -9k 7 + -9k = 10 + 14k + -14k Combine like terms: 14k + -14k = 0 7 + -9k = 10 + 0 7 + -9k = 10 Add '-7' to each side of the equation. 7 + -7 + -9k = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -9k = 10 + -7 -9k = 10 + -7 Combine like terms: 10 + -7 = 3 -9k = 3 Divide each side by '-9'. k = -0.3333333333 Simplifying k = -0.3333333333
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