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Simplifying 4k + 7 = -5k + 34 Reorder the terms: 7 + 4k = -5k + 34 Reorder the terms: 7 + 4k = 34 + -5k Solving 7 + 4k = 34 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. 7 + 4k + 5k = 34 + -5k + 5k Combine like terms: 4k + 5k = 9k 7 + 9k = 34 + -5k + 5k Combine like terms: -5k + 5k = 0 7 + 9k = 34 + 0 7 + 9k = 34 Add '-7' to each side of the equation. 7 + -7 + 9k = 34 + -7 Combine like terms: 7 + -7 = 0 0 + 9k = 34 + -7 9k = 34 + -7 Combine like terms: 34 + -7 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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