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Simplifying -3k + 4 = 8k + -15 + -6k + -11 Reorder the terms: 4 + -3k = 8k + -15 + -6k + -11 Reorder the terms: 4 + -3k = -15 + -11 + 8k + -6k Combine like terms: -15 + -11 = -26 4 + -3k = -26 + 8k + -6k Combine like terms: 8k + -6k = 2k 4 + -3k = -26 + 2k Solving 4 + -3k = -26 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + -3k + -2k = -26 + 2k + -2k Combine like terms: -3k + -2k = -5k 4 + -5k = -26 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + -5k = -26 + 0 4 + -5k = -26 Add '-4' to each side of the equation. 4 + -4 + -5k = -26 + -4 Combine like terms: 4 + -4 = 0 0 + -5k = -26 + -4 -5k = -26 + -4 Combine like terms: -26 + -4 = -30 -5k = -30 Divide each side by '-5'. k = 6 Simplifying k = 6
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