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Simplifying 3(2k + 5) + -11k + 4 + 3 = 0 Reorder the terms: 3(5 + 2k) + -11k + 4 + 3 = 0 (5 * 3 + 2k * 3) + -11k + 4 + 3 = 0 (15 + 6k) + -11k + 4 + 3 = 0 Reorder the terms: 15 + 4 + 3 + 6k + -11k = 0 Combine like terms: 15 + 4 = 19 19 + 3 + 6k + -11k = 0 Combine like terms: 19 + 3 = 22 22 + 6k + -11k = 0 Combine like terms: 6k + -11k = -5k 22 + -5k = 0 Solving 22 + -5k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -5k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -5k = 0 + -22 -5k = 0 + -22 Combine like terms: 0 + -22 = -22 -5k = -22 Divide each side by '-5'. k = 4.4 Simplifying k = 4.4
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