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Simplifying 4k + 7 = 5(2 + -1k) + 6 Reorder the terms: 7 + 4k = 5(2 + -1k) + 6 7 + 4k = (2 * 5 + -1k * 5) + 6 7 + 4k = (10 + -5k) + 6 Reorder the terms: 7 + 4k = 10 + 6 + -5k Combine like terms: 10 + 6 = 16 7 + 4k = 16 + -5k Solving 7 + 4k = 16 + -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 = 16 + -5k + 5k Combine like terms: 4k + 5k = 9k 7 + 9k = 16 + -5k + 5k Combine like terms: -5k + 5k = 0 7 + 9k = 16 + 0 7 + 9k = 16 Add '-7' to each side of the equation. 7 + -7 + 9k = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 9k = 16 + -7 9k = 16 + -7 Combine like terms: 16 + -7 = 9 9k = 9 Divide each side by '9'. k = 1 Simplifying k = 1
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