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Simplifying 5(-3k + 8) + -8k = -2(8 + 8k) Reorder the terms: 5(8 + -3k) + -8k = -2(8 + 8k) (8 * 5 + -3k * 5) + -8k = -2(8 + 8k) (40 + -15k) + -8k = -2(8 + 8k) Combine like terms: -15k + -8k = -23k 40 + -23k = -2(8 + 8k) 40 + -23k = (8 * -2 + 8k * -2) 40 + -23k = (-16 + -16k) Solving 40 + -23k = -16 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 40 + -23k + 16k = -16 + -16k + 16k Combine like terms: -23k + 16k = -7k 40 + -7k = -16 + -16k + 16k Combine like terms: -16k + 16k = 0 40 + -7k = -16 + 0 40 + -7k = -16 Add '-40' to each side of the equation. 40 + -40 + -7k = -16 + -40 Combine like terms: 40 + -40 = 0 0 + -7k = -16 + -40 -7k = -16 + -40 Combine like terms: -16 + -40 = -56 -7k = -56 Divide each side by '-7'. k = 8 Simplifying k = 8
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