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Simplifying 8(2k + 3) + -2(-7k + 7) = 70 Reorder the terms: 8(3 + 2k) + -2(-7k + 7) = 70 (3 * 8 + 2k * 8) + -2(-7k + 7) = 70 (24 + 16k) + -2(-7k + 7) = 70 Reorder the terms: 24 + 16k + -2(7 + -7k) = 70 24 + 16k + (7 * -2 + -7k * -2) = 70 24 + 16k + (-14 + 14k) = 70 Reorder the terms: 24 + -14 + 16k + 14k = 70 Combine like terms: 24 + -14 = 10 10 + 16k + 14k = 70 Combine like terms: 16k + 14k = 30k 10 + 30k = 70 Solving 10 + 30k = 70 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 30k = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 30k = 70 + -10 30k = 70 + -10 Combine like terms: 70 + -10 = 60 30k = 60 Divide each side by '30'. k = 2 Simplifying k = 2
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