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Simplifying -5(k + 3) + -2k = 6 Reorder the terms: -5(3 + k) + -2k = 6 (3 * -5 + k * -5) + -2k = 6 (-15 + -5k) + -2k = 6 Combine like terms: -5k + -2k = -7k -15 + -7k = 6 Solving -15 + -7k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -7k = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -7k = 6 + 15 -7k = 6 + 15 Combine like terms: 6 + 15 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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