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Simplifying (4 + -3k) + 6 = 5(-2 + 7k) + 3k Remove parenthesis around (4 + -3k) 4 + -3k + 6 = 5(-2 + 7k) + 3k Reorder the terms: 4 + 6 + -3k = 5(-2 + 7k) + 3k Combine like terms: 4 + 6 = 10 10 + -3k = 5(-2 + 7k) + 3k 10 + -3k = (-2 * 5 + 7k * 5) + 3k 10 + -3k = (-10 + 35k) + 3k Combine like terms: 35k + 3k = 38k 10 + -3k = -10 + 38k Solving 10 + -3k = -10 + 38k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-38k' to each side of the equation. 10 + -3k + -38k = -10 + 38k + -38k Combine like terms: -3k + -38k = -41k 10 + -41k = -10 + 38k + -38k Combine like terms: 38k + -38k = 0 10 + -41k = -10 + 0 10 + -41k = -10 Add '-10' to each side of the equation. 10 + -10 + -41k = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -41k = -10 + -10 -41k = -10 + -10 Combine like terms: -10 + -10 = -20 -41k = -20 Divide each side by '-41'. k = 0.487804878 Simplifying k = 0.487804878
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