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Simplifying 16 + -3k + 24 + 10 = 2(-4k + -13) Reorder the terms: 16 + 24 + 10 + -3k = 2(-4k + -13) Combine like terms: 16 + 24 = 40 40 + 10 + -3k = 2(-4k + -13) Combine like terms: 40 + 10 = 50 50 + -3k = 2(-4k + -13) Reorder the terms: 50 + -3k = 2(-13 + -4k) 50 + -3k = (-13 * 2 + -4k * 2) 50 + -3k = (-26 + -8k) Solving 50 + -3k = -26 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 50 + -3k + 8k = -26 + -8k + 8k Combine like terms: -3k + 8k = 5k 50 + 5k = -26 + -8k + 8k Combine like terms: -8k + 8k = 0 50 + 5k = -26 + 0 50 + 5k = -26 Add '-50' to each side of the equation. 50 + -50 + 5k = -26 + -50 Combine like terms: 50 + -50 = 0 0 + 5k = -26 + -50 5k = -26 + -50 Combine like terms: -26 + -50 = -76 5k = -76 Divide each side by '5'. k = -15.2 Simplifying k = -15.2
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