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Simplifying 3k(5 + -4) + 11k = 6(2 + k) + -2 Combine like terms: 5 + -4 = 1 3k(1) + 11k = 6(2 + k) + -2 Reorder the terms for easier multiplication: 3 * 1k + 11k = 6(2 + k) + -2 Multiply 3 * 1 3k + 11k = 6(2 + k) + -2 Combine like terms: 3k + 11k = 14k 14k = 6(2 + k) + -2 14k = (2 * 6 + k * 6) + -2 14k = (12 + 6k) + -2 Reorder the terms: 14k = 12 + -2 + 6k Combine like terms: 12 + -2 = 10 14k = 10 + 6k Solving 14k = 10 + 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. 14k + -6k = 10 + 6k + -6k Combine like terms: 14k + -6k = 8k 8k = 10 + 6k + -6k Combine like terms: 6k + -6k = 0 8k = 10 + 0 8k = 10 Divide each side by '8'. k = 1.25 Simplifying k = 1.25
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