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Simplifying -7(3 + k) + -5 = -14 + -3k (3 * -7 + k * -7) + -5 = -14 + -3k (-21 + -7k) + -5 = -14 + -3k Reorder the terms: -21 + -5 + -7k = -14 + -3k Combine like terms: -21 + -5 = -26 -26 + -7k = -14 + -3k Solving -26 + -7k = -14 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -26 + -7k + 3k = -14 + -3k + 3k Combine like terms: -7k + 3k = -4k -26 + -4k = -14 + -3k + 3k Combine like terms: -3k + 3k = 0 -26 + -4k = -14 + 0 -26 + -4k = -14 Add '26' to each side of the equation. -26 + 26 + -4k = -14 + 26 Combine like terms: -26 + 26 = 0 0 + -4k = -14 + 26 -4k = -14 + 26 Combine like terms: -14 + 26 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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