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Simplifying -203 = 7(6 + 6k) + 7k -203 = (6 * 7 + 6k * 7) + 7k -203 = (42 + 42k) + 7k Combine like terms: 42k + 7k = 49k -203 = 42 + 49k Solving -203 = 42 + 49k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49k' to each side of the equation. -203 + -49k = 42 + 49k + -49k Combine like terms: 49k + -49k = 0 -203 + -49k = 42 + 0 -203 + -49k = 42 Add '203' to each side of the equation. -203 + 203 + -49k = 42 + 203 Combine like terms: -203 + 203 = 0 0 + -49k = 42 + 203 -49k = 42 + 203 Combine like terms: 42 + 203 = 245 -49k = 245 Divide each side by '-49'. k = -5 Simplifying k = -5
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