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Simplifying -28 + -7k = -2(7k + -7) Reorder the terms: -28 + -7k = -2(-7 + 7k) -28 + -7k = (-7 * -2 + 7k * -2) -28 + -7k = (14 + -14k) Solving -28 + -7k = 14 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -28 + -7k + 14k = 14 + -14k + 14k Combine like terms: -7k + 14k = 7k -28 + 7k = 14 + -14k + 14k Combine like terms: -14k + 14k = 0 -28 + 7k = 14 + 0 -28 + 7k = 14 Add '28' to each side of the equation. -28 + 28 + 7k = 14 + 28 Combine like terms: -28 + 28 = 0 0 + 7k = 14 + 28 7k = 14 + 28 Combine like terms: 14 + 28 = 42 7k = 42 Divide each side by '7'. k = 6 Simplifying k = 6
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