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Simplifying 3(7k + -3k) + -6 = 102 Combine like terms: 7k + -3k = 4k 3(4k) + -6 = 102 Remove parenthesis around (4k) 3 * 4k + -6 = 102 Multiply 3 * 4 12k + -6 = 102 Reorder the terms: -6 + 12k = 102 Solving -6 + 12k = 102 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12k = 102 + 6 Combine like terms: -6 + 6 = 0 0 + 12k = 102 + 6 12k = 102 + 6 Combine like terms: 102 + 6 = 108 12k = 108 Divide each side by '12'. k = 9 Simplifying k = 9
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