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Simplifying 16 + -3k + 24 + 10k = 2(-4k + -13) Reorder the terms: 16 + 24 + -3k + 10k = 2(-4k + -13) Combine like terms: 16 + 24 = 40 40 + -3k + 10k = 2(-4k + -13) Combine like terms: -3k + 10k = 7k 40 + 7k = 2(-4k + -13) Reorder the terms: 40 + 7k = 2(-13 + -4k) 40 + 7k = (-13 * 2 + -4k * 2) 40 + 7k = (-26 + -8k) Solving 40 + 7k = -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. 40 + 7k + 8k = -26 + -8k + 8k Combine like terms: 7k + 8k = 15k 40 + 15k = -26 + -8k + 8k Combine like terms: -8k + 8k = 0 40 + 15k = -26 + 0 40 + 15k = -26 Add '-40' to each side of the equation. 40 + -40 + 15k = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 15k = -26 + -40 15k = -26 + -40 Combine like terms: -26 + -40 = -66 15k = -66 Divide each side by '15'. k = -4.4 Simplifying k = -4.4
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