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Simplifying -1(-7k + 3) = 3(5 + 10k) Reorder the terms: -1(3 + -7k) = 3(5 + 10k) (3 * -1 + -7k * -1) = 3(5 + 10k) (-3 + 7k) = 3(5 + 10k) -3 + 7k = (5 * 3 + 10k * 3) -3 + 7k = (15 + 30k) Solving -3 + 7k = 15 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -3 + 7k + -30k = 15 + 30k + -30k Combine like terms: 7k + -30k = -23k -3 + -23k = 15 + 30k + -30k Combine like terms: 30k + -30k = 0 -3 + -23k = 15 + 0 -3 + -23k = 15 Add '3' to each side of the equation. -3 + 3 + -23k = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -23k = 15 + 3 -23k = 15 + 3 Combine like terms: 15 + 3 = 18 -23k = 18 Divide each side by '-23'. k = -0.7826086957 Simplifying k = -0.7826086957
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