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Simplifying 3(k + 7) + -5k + 4 = 23 Reorder the terms: 3(7 + k) + -5k + 4 = 23 (7 * 3 + k * 3) + -5k + 4 = 23 (21 + 3k) + -5k + 4 = 23 Reorder the terms: 21 + 4 + 3k + -5k = 23 Combine like terms: 21 + 4 = 25 25 + 3k + -5k = 23 Combine like terms: 3k + -5k = -2k 25 + -2k = 23 Solving 25 + -2k = 23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -2k = 23 + -25 Combine like terms: 25 + -25 = 0 0 + -2k = 23 + -25 -2k = 23 + -25 Combine like terms: 23 + -25 = -2 -2k = -2 Divide each side by '-2'. k = 1 Simplifying k = 1
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