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Simplifying 11k + -16 = 2(3k + 2) Reorder the terms: -16 + 11k = 2(3k + 2) Reorder the terms: -16 + 11k = 2(2 + 3k) -16 + 11k = (2 * 2 + 3k * 2) -16 + 11k = (4 + 6k) Solving -16 + 11k = 4 + 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. -16 + 11k + -6k = 4 + 6k + -6k Combine like terms: 11k + -6k = 5k -16 + 5k = 4 + 6k + -6k Combine like terms: 6k + -6k = 0 -16 + 5k = 4 + 0 -16 + 5k = 4 Add '16' to each side of the equation. -16 + 16 + 5k = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 5k = 4 + 16 5k = 4 + 16 Combine like terms: 4 + 16 = 20 5k = 20 Divide each side by '5'. k = 4 Simplifying k = 4
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