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Simplifying 4(k + 5) + -2k + 6 = 2(3k + 2) + -6 Reorder the terms: 4(5 + k) + -2k + 6 = 2(3k + 2) + -6 (5 * 4 + k * 4) + -2k + 6 = 2(3k + 2) + -6 (20 + 4k) + -2k + 6 = 2(3k + 2) + -6 Reorder the terms: 20 + 6 + 4k + -2k = 2(3k + 2) + -6 Combine like terms: 20 + 6 = 26 26 + 4k + -2k = 2(3k + 2) + -6 Combine like terms: 4k + -2k = 2k 26 + 2k = 2(3k + 2) + -6 Reorder the terms: 26 + 2k = 2(2 + 3k) + -6 26 + 2k = (2 * 2 + 3k * 2) + -6 26 + 2k = (4 + 6k) + -6 Reorder the terms: 26 + 2k = 4 + -6 + 6k Combine like terms: 4 + -6 = -2 26 + 2k = -2 + 6k Solving 26 + 2k = -2 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 26 + 2k + -6k = -2 + 6k + -6k Combine like terms: 2k + -6k = -4k 26 + -4k = -2 + 6k + -6k Combine like terms: 6k + -6k = 0 26 + -4k = -2 + 0 26 + -4k = -2 Add '-26' to each side of the equation. 26 + -26 + -4k = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -4k = -2 + -26 -4k = -2 + -26 Combine like terms: -2 + -26 = -28 -4k = -28 Divide each side by '-4'. k = 7 Simplifying k = 7
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