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Simplifying 2(3k + 2) + -11k + 4 + 4 = 0 Reorder the terms: 2(2 + 3k) + -11k + 4 + 4 = 0 (2 * 2 + 3k * 2) + -11k + 4 + 4 = 0 (4 + 6k) + -11k + 4 + 4 = 0 Reorder the terms: 4 + 4 + 4 + 6k + -11k = 0 Combine like terms: 4 + 4 = 8 8 + 4 + 6k + -11k = 0 Combine like terms: 8 + 4 = 12 12 + 6k + -11k = 0 Combine like terms: 6k + -11k = -5k 12 + -5k = 0 Solving 12 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5k = 0 + -12 -5k = 0 + -12 Combine like terms: 0 + -12 = -12 -5k = -12 Divide each side by '-5'. k = 2.4 Simplifying k = 2.4
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